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Research Papers of → Mathematics Department

International Publications

    2023
  1. - K. Bhoi, P. K. Ray, On the Diophantine equation Bn1 +Bn2 = 2a1 +2a2 +2a3 , Communications in Mathematics, 31, 375-392 (2023).
  2. - P. K. Ray, Certain identities involving k-balancing and k- Lucas balancing numbers via matrices, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, 34, 120-130 (2023).
  3. P. P. Kar, K. Jordaan and P. Gochhayat, Stieltjes interlacing of zeros of little q-Jacobi and q-Laguerre polynomials from different sequences. Numerical Algorithm, 92, 723—746 (2023)
  4. - M. Behera, P. K. Ray, Multiplicative dependence between Padovan and Perrin numbers, Boletin de la Sociedad Matematica Mexicana, 29, 1-12 (2023).
    5. 2022
  5. A. Behera, P. K. Ray, On the properties of balancing and Lucas-balancing p-numbers, Iran. J. Math. Sci. Inform., 17, 147-163 (2022).
  6. - K. Bhoi, P. K. Ray, On the Diophantine equation Nn = xa xb + 1, Fibonacci Quarterly 60, 316-323 (2022).
  7. - M. Behera, P. K. Ray, On Z dependency of algebraic integers satisfying cubic and quartic polynomials, Lithuanian Mathematical Journal, 62, 304-307 (2022).
  8. - K. Bhoi, P. K. Ray, Fermat numbers in Narayana’s cows sequence, Integers, 22, #A16, 1-7 (2022).
  9. - U. K. Dutta, P. K. Ray, Euler-Zagier multiple L-functions involving balancing-like polynomials associated to Dirichlet charecters, Palestine journal of mathematics, 11(2), 274-289 (2022).
  10. P. P. Kar and P. Gochhayat, Zeros of quasi-orthogonal q-Laguerre polynomials. Journal of Mathematical Analysis and Applications, 506(1), 125605, (2022)
  11. - K. Bhoi, P. K. Ray, On the x-coordinates of Pell equations which are Narayana numbers, Integers, 22, #A107, 1-13 (2022).
  12. H. M. Srivastava, A. Prajapati and P. Gochhayat, Integral means and Yamashita’s conjecture associated with the Janowski type (j,k)-symmetric starlike functions. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116: 165; 1–22 (2022).
  13. - K. Bhoi, P. K. Ray, Narayana numbers as sums of two base b repdigits, Acta et Commentationes Universitatis Tartuensis de Mathematica, 26, 183-192 (2022).
  14. P. Gochhayat and S. Mahata, Geometric properties of certain subclass of close-to-Convex harmonic map pings. Vietnam Journal of Mathematics, (2022).
  15. P.P. Kar and P. Gochhayat, Interlacing and bounds of zeros of quasi-orthogonal little q-Jacobi polynomials. Numerical Algorithm, 93, 1157—1170 (2022).
    16. 2021
  16. A. Behera, P. K. Ray, A common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials, Acta Univ. Sapientiae Math., 13(2), 305-320 (2021).
  17. B. K. Patel, P. K. Ray, On Balancing and Lucas-Balancing Quarternions, Communications in Mathematics, 1-17 ( 2021).
  18. K. Bhoi, P. K. Ray, Perrin numbers expressible as sums of two base b repdigits, Rend. Istit. Mat. Univ. Trieste, 53, Art. No. 18, pp. 1-11 (2021).
  19. K. Bhoi, P. K. Ray, Repdigits as difference of two Fibonacci or Lucas numbers, Matematychni Studii, 56(2), 124-132 (2021).
  20. P. Gochhayat, A. Prajapati and A. K. Sahoo, Coefficient estimates of certain subclasses of analytic functions associated with Hohlov operator. Asian-European Journal of Mathematics, 14(2), 2150021 (2021).
  21. P. Gochhayat and A. Prajapati, Geometric properties of (j,k)-symmetric functions related to starlike and convex functions. Communication in Korean Mathematical Society, 37(2), 455–472, (2021).
    22. 2020
  22. P. K. Ray, A Cryptography method based on hyperbolic balancing and Lucas-balancing func- tions, Proyecciones journal of mathematics,39 (1), 2020, 135-152.
  23. A Behera and P. K. Ray,Determinantal and permanental representations of convolved (U, V )- Lucas first kind P - polynomials, AIMS Mathematics, 5(3),2020, 1843-1855.
  24. U. K. Dutta and P. K. Ray, Analytic properties of the Apostol-Vu multiple Fibonacci zeta functions, Discussiones Mathematicae-General Algebra and Applications, 40, 2020, 37-48.
  25. P. K. Ray and U. K. Dutta, Analytic continuation of Apostol-Vu multiple balancing zeta functions, Integers, 20A, 2020, #A12.
  26. N. Irmak, P.K. Ray, The order of appearance of the product of two Fibonacci and Lucas numbers, Acta Mathematica Hungarica, 162, 527-538 (2020).
  27. U.K. Dutta, P.K. Ray On the partial finite alternating sums of reciprocals of Balancing and Lucas-Balancing numbers,Discussiones Mathematicae-General Algebra and Applications 40(2), 201-216(2020).
  28. T. Komatsu, B.K.Patel, P.K. Ray, On the periodicity of Lucas-balancing Numbers and p-adic order of Balancing numbers, Iran J. Scin.Technol. Trans. Sci. 44, 557-562(2020).
  29. A.K. Mishra, A. Prajapati and P. Gochhayat, Third order differential subordination and superordination results associated with Hohlov operator. Tbilisi Mathematical Journal, 13(3), 95–109, (2020).
  30. P. P. Kar, K. Jordaan, P. Gochhayat and M.K. Nangho, Quasi-orthogonality and zeros of some ${}_2phi_2$ and ${}_3phi_2$ polynomials. Journal of Computational and Applied Mathematics, 377(15), 112910, (2020).
    31. 2019
  31. - B. K. Patel, and P.K. Ray, On the properties of (p, q) Fibonacci and (p, q) Lucas quaternions, Mathematical Reports, 21(1), 2019, 1-10.
  32. U. K. Dutta, B. K. Patel and P. K. Ray, Balancing non-Wieferich primes in arithmetic progres- sions, Proceedings: Mathematical Sciences, 2019.
  33. P. K. Ray, Identities concerning k-balancing and k-Lucas-balancing numbers of arithmetic indexes, AIMS Mathematics, 4(2), 2019, 308-315.
  34. U. K. Dutta and P. K. Ray, On arithmetic functions of balancing and Lucas-balancing numbers, Mathematical Communications, 24, 2019, 77-81.
  35. P. K. Ray, Analytic properties of Euler-Zagier multiple Lucas-balancing zeta functions, Trans. Natl. Acad. Sci. Azerb. Ser. Phys. Tech. Math. Sci., 39(1), 2019, 38-53.
  36. U. K. Dutta and P. K. Ray, On the finite reciprocal sums of Fibonacci and Lucas polynomials, AIMS Mathematics, 4(6), 2019, 1569-1581.
  37. B.K.Chinhara, P. Gochhayat and S. Maharana, On certain harmonic mappings with fixed coefficients, Monatshefte Für Mathematik, 190, 261–280, (2019).
  38. B. K. Chinhara, P. Gochhayat and S. Maharana, A subclasses of harmonic univalent mappings with restricted analytic part, Commun. Korean Math. Soc. 34(3), 841–854, (2019).
  39. A.Prajapati and P.Gochhayat, Applications of third order differential subordination and superordination results associated with Struve functions, Filomat 33(10), (2019).
    40. 2018
  40. B.K. Patel, N. Irmak and P.K. Ray, Incomplete balancing and Lucas-balancing Numbers, To be appeared in Mathematical Reports, 20 (1) 2018.
  41. U.K Dutta, B.K. Patel and P.K. Ray, A brief remark on balancing Wieferich primes, Mathe- matica, 60 (3), 2018.
  42. B K Patel, S K Sunanda and P K Ray, The period of balancing numbers modulo product of consecutive Lucas-balancing numbers, Mathematica, 60 (83), 2018, 181-185.
  43. B. K. Patel, P.K. Ray and M Sahukar, Positive integers solutions of certain Diophantine equations, Proceedings: Mathematical Sciences, 128(1), 2018, 1-9.
  44. D. Behera, U K Dutta and P K Ray, On Lucas-balancing zeta function, Acta et Commentationes Universitatis Tartuensis de Mathematica, 22(1), 2018, 65-74.
  45. U K Dutta, P K Ray and S S Pradhan, Regularized product of balancing and Lucas-balancing numbers, Indian Journal of Mathematics, 60 (2), 2018, 171-179.
  46. P. K. Ray, N. Irmak and B. K. Patel, The rank of apparition of powers of Lucas sequence, Turkish Journal of Mathematics, 42, 2018, 1566-1570.
  47. T Komatsu, B.K. Patel and P.K. Ray, Higher order identities for second order sequences, An. Stint. Univ. AI. I. Cuza Lasi Mat. (N.S), LXIV, f.2, 2018, 357-368.
  48. B. K. Chinhara, P. Gochhayat and A. K. Mishra, Certain subclasses of harmonic multivalent functions involving an integral operator, Int. J. Open Problems Complex Analysis, 10(3), 1–18, (2018).
  49. H. M. Srivastava, A. Prajapati, and P. Gochhayat, Applications of third order differential subordination and superordination results associated with Srivastava-Attiya operator. Appl. Math. Inf. Sci. 12(3), 469–481 (2018).
    50. 2017
  50. P.K. Ray, On the properties of k-balancing and k-Lucas balancing numbers, Acta et Commen- tationes Universitatis Tartuensis de Mathematica,, 21, 2017.
  51. P.K. Ray and S S Pradhan, Greatest common divisors for shifted balancing numbers, Boletim da Sociedade Paranaense de Mathmatica, 35, 2017.
  52. P.K. Ray, Balancing polynomials and their derivatives, Ukrainian Mathematical Journal, 69 (4), 2017.
  53. B.K. Patel, U.K Dutta and P.K. Ray, Period of balancing sequence modulo powers of balancing and Pell numbers, Annales Mathematicae et Informaticae, 47 (3), 2017.
    54. 2016
  54. P.K. Ray, On the properties of k-balancing numbers, Article in press, Ains Shaam Engineering Journal, 2016.
  55. S.M. Zahid and P. K. Ray, On closure properties of irrational and transcendental numbers under addition and multiplication, American Journal of Under Graduate Research, 13(3), 2016.
  56. P.K. Ray and Juli Sahu, Generating functions for certain balancing and Lucas-balancing numbers, Palestine Journal of Mathematics, 5(2), 2016.
  57. S. Swain, C. Pratihary and P.K. Ray, Balancing and Lucas-balancing numbers and their appli- cation to cryptography, Computer Engineering and Application Journal, 5(1), 2016.
  58. B. K. Patel and P.K. Ray, Uniform distribution of balancing numbers modulo m, Uniform Distribution Theory, 11 (1), 2016.
  59. P.K. Ray, Certain diophantine equations involving balancing and Lucas-balancing numbers, Acta et Commentationes Universitatis Tartuensis de Mathematica,, 20, 2016.
  60. P.K. Ray and B. K. Patel, The period, rank and order of the sequence of balancing numbers modulo m, Mathematical Reports, 18 (3), 2016.
  61. P. Gochhayat, K. H. Jordaan, K. Raghavendar and A. Swaminathan, Interlacing properties and bounds for zeros of $_2phi_1$ hypergeometric and little q-Jacobi polynomials. Ramanujan J. 40(1), 45–62, (2016).
    62. 2015
  62. P.K. Ray, Balancing and Lucas-balancing sums by matrix methods, Mathematical Reports, 17(2), 2015, 225-233.
  63. P.K. Ray and S. Swain, On the Hadamard product of balancing Qn matrix and balancing Q?n matrix, TWMS journal of applied and engineering mathematics, 5(2), 2015.
  64. S.M. Zahid and P. K. Ray, Approximation of Euler number using gamma function, American Journal of Under Graduate Research, 12(3), 2015.
  65. P. K. Ray and G..K. Panda, Tridiagonal matrices related to subsequences of balancing and Lucas-balancing numbers, Notes on Number Theory and Discrete Mathematics, 21(3), 2015.
  66. P. Gochhayat, Inclusion properties of certain subclass of multivalent functions defined by generalized derivative operator, Advances in Mathematics: Scientific Journal, 4(2), 221–227, (2015).
    67. 2014
  67. P. K. Ray, Some congruences for balancing and Lucas-balancing numbers and their applications, INTEGERS, 14, 2014, #A8.
  68. P. K. Ray, Balancing sequence of matrices with application to algebra of balancing numbers, Notes on Number Theory and Discrete Mathematics, 20(1), 2014, 49-58.
  69. P. K. Ray and K. Parida, Generalization of Cassini formula for balancing and Lucas-balancing numbers, Matematychni Studii, 42(1), 2014, 9-14.
    70. 2013
  70. P. K. Ray, Factorization of negatively subscripted balancing and Lucas-balancing numbers, Boletim da Sociedade Paranaense de Matemática,31 (2), 2013, 161-173.
  71. P. K. Ray, New identities for the common factors of balancing and Lucas-balancing numbers, International Journal of Pure and Applied Mathematics, 85(3), 2013, 487-494.
  72. P. Gochhayat, Sandwich-type theorem for class of functions defined by generalized differential operator. Math. Vesnik, 64(2), pp 178–186, (2013).
  73. P. Gochhayat, Convolution properties of p-valent functions associated with a generalization of the Srivastava-Attiya operator, Journal of Complex Analysis, Volume 2013, Art. ID 676027, (2013).
  74. A. K. Mishra and P. Gochhayat, Sandwich-type theorems of some subclasses of multivalent functions defined by an adaptation to Srivastava-Attya operator. PanAmerican Math J, 23(1), 25–43, (2013).
    75. 2012
  75. P. K. Ray, Application of Chybeshev polynomials in factorization of balancing and Lucas- balancing numbers, Boletim da Sociedade Paranaense de Matemática, 30 (2), 2012, 49-56.
  76. P. K. Ray, Curious congruences for balancing numbers, International Journal of Mathematics and Mathematical Sciences, 7 (18), 2012, 881-889.
  77. P. K. Ray, Certain matrices associated with balancing and Lucas-balancing numbers, Matem- atika, 28 (1), 2012, 15-22.
  78. P. Gochhayat, Sandwich-type theorems of some subclasses of multivalent functions defined by Dziok Srivastava operator. Acta Universitatis Apulensis, 32, 31–47, (2012).
    79. 2011
  79. G. K. Panda and P. K. Ray, Some links of balancing and cobalancing numbers with Pell and associated Pell numbers, Bulletin of the Institute of Mathematics, Academia Sinica (New Series), 6(1), 2011, 41-72.
  80. A. K. Mishra and P. Gochhayat, A coefficient inequality for a subclass of the Caratheodory functions defined using conical domains, Computers and Mathematics with Applications, 61(9), 2816–2820, (2011).
    81. 2010
  81. H. M. Srivastava, A. K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Applied Math. Letters, 23, 1188–1192 (2010).
  82. A. K. Mishra and P.Gochhayat, Fekete-Szegö problem for a class defined by an integral operator. Kodai Journal of Mathematics, 33, 310–328, (2010).
  83. A.K. Mishra and P.Gochhayat, Invariance of some subclasses of multivalent functions under a differintegral operator. Complex Variables and Elliptic Equations, 55(7), 677–689, (2010).
    84. 2008
  84. A. K. Mishra and P. Gochhayat, Second Hankel determinant of a class of analytic functions defined by fractional derivative. International Journal of Mathematics and Mathematical Sciences, Volume 2008, Art. ID 153280, 10 pages, (2008).
  85. A. K. Mishra and P. Gochhayat, Fekete-Szegö problem for k-uniformly convex functions and for a class defined by the Owa-Srivastava operator. Journal of Mathematical Analysis and Applications, 347, 563–572, (2008).
    86. 2006
  86. A. K. Mishra and P.Gochhayat, Applications of the Owa-Srivastava operator to the class of k-uniformly convex functions. Fractional Calculus and Applied Analysis; An International Journal for Theory and Applications, 9(4), 323–332, (2006).
  87. A. K. Mishra and P. Gochhayat, Coefficient of inverse functions in a nested class of starlike functions of positive order. Journal of Inequalities in Pure and Applied Mathematics, 7(3), Art. 94, (2006).
  88. A. K. Tripathy, G. N. Chhatria; Oscillation criteria for first order neutral impulsive difference equations with constant coefficients, Differ. Equ. Dyn. Syst., 31(2023), 209-222.
  89. 85. A. K. Tripathy, S. Das; Necessary and sufficient conditions for oscillation of nonlinear neutral difference systems of dim-2, Nonauton. Dyn. Syst., 9(2022), 91-102.
  90. 84. R. R. Mohanta, A. K. Tripathy; Unbounded Oscillation Criteria for Fourth Order Neutral Differential Equations of Non-canonical Type, Mathematica Slovaca, 72(2022), 661-676.
  91. 83. A. K. Tripathy, S. S. Santra; Necessary and sufficient conditions for oscillation of a class of second order impulsive systems, Differ. Equ. Dyn. Syst., 30(2022), 433-450.
  92. 82. A. K. Tripathy, G. N. Chhatria; On the behavior of solutions of neutral impulsive difference equations of second order, Math. Commun. 25(2020), 297-314.
  93. 81. A. K. Tripathy, G. N. Chhatria; Nonlinear oscillation and second order impulsive neutral difference equations, Filomat, 35 (2021), 3365-3381.
  94. 80. A. K. Tripathy, R. R. Mohanta; Unbounded Oscillation of Fourth Order Functional Differential Equations, Mathematica Slovaca, 70(2020), 1153-1164.
  95. 79. A. K. Tripathy, R. R. Mohanta; On Oscillatory Fourth Order Nonlinear Neutral Differential Equations-IV, Mathematica Slovaca 69 (2019), 1099-1116.
  96. 78. A. K. Tripathy, R. R. Mohanta; On Oscillatory Fourth Order Nonlinear Neutral Differential Equations-III, Mathematica Slovaca 68 (2018), 1385-1396.
  97. 76. E. Schmeidel, A. K. Tripathy; Oscillation criteria for three dimensional linear difference systems, Appl. Anal. Dis. Math., 12(2018), 347-361.
  98. 75. A. K. Tripathy, B. Panda; Oscillation of nonlinear fourth order mixed neutral differential equations, Math. Slovaca, 66(2016), 853-838.
  99. 74. A. K. Tripathy; Oscillation criteria for a class of first order neutral impulsive differential-difference equations, J. Appl. Anal. Comp. 4(2014), 89-101.
  100. 73. A. K. Tripathy, S. Panigrahy, K. Srilakshmi; Generalized Emden- Fowler-neutral type equations with Properties A & B, Dyn. Syst. Appl. 23(2014), 1-14.
  101. 72. A. K. Tripathy, Oscillation criteria for a class of nonlinear fourth order neutral differential equation, Mathematica Slovaca, 63(2013), pp. 243-262.
  102. 71. A. K. Tripathy, Oscillation criteria for a class of nonlinear fourth order neutral differential equation, Mathematica Slovaca, 63(2013), pp. 243-262.
  103. 70. A.K.Tripathy, S.Panigrahi & R. Basu; Oscillation results for fourth order nonlinear mixed neutral differential equations-II, Nonlinear Oscillation,15(2012), pp. 539-555.
  104. 69. A. K. Tripathy, S. Panigrahi, On the oscillation of a class of nonlinear delay difference equations of second order, Ind.J.Pure & Appl. Math. 42(2011), 27-40..
  105. 68. A. K. Tripathy, Oscillation and nonoscillation of a class of nonlinear second order mixed difference equations, Elec . J. Qualit.Theory of Diff. Equ, (2010).
  106. 67. A. K. Tripathy, Some oscillation results for second order nonlinear dynamic equations of neutral type, Nonlinear Analysis: Theory, Methods & Applications, 71 (2009), e1727 – e1735.
  107. 66. A. K. Tripathy, Oscillation criteria for first-order systems of linear difference equations, Elect. J. Diff. Eqn. Vol. 2009 (2009), No. 29, 1 – 11.
  108. 65. A. K. Tripathy, Oscillation of Fourth Order Nonlinear Neutral Difference Equations-II, Mathematica Slovaca, 58 (2008), 581 – 604.
  109. 64. A. K. Tripathy, On the Oscillation of a Second Order Nonlinear Neutral Delay Difference Equations, Elec. J. Qualit. Theory of Diff.Equ, 11 (2008), 1 – 12.
  110. 63. A. K. Tripathy, Oscillation of Fourth Order Nonlinear Neutral Difference Equations-I, Mathematica Slovaca, 58 (2008), 1 – 20.
  111. 62. N. Parhi and A. K. Tripathy, On Oscillatory Fourth Order Nonlinear Neutral Differential Equations-II, Mathematica Slovaca 55 (2005), 183 – 202.
  112. 61. N. Parhi and A. K. Tripathy, On Oscillatory Fourth Order Nonlinear Neutral Differential Equations-I, Mathematica Slovaca 54 (2004), 369 - 388.
  113. 60. N. Parhi and A. K. Tripathy, Oscillation of a Class of Nonlinear Neutral Difference Equations of Higher Order, J. Math. Anal. Appl. 284 (2003), 756 – 774.
  114. 59. N. Parhi and A. K. Tripathy, Oscillation of Forced Nonlinear Neutral Delay Difference Equations of First Order, Czec.Math.J.53 (2003), 83 – 101.
  115. 58.N. Parhi and A. K. Tripathy, Oscillation Criteria for Forced Nonlinear Neutral Delay Difference Equations of First Order, Diff.Eqns.Dyne.Sys.8 (2000), 81 – 97.
  116. 57. A. K. Tripathy; Existence of periodic solutions of second order nonlinear neutral differential equations, Functional Diff. Equs., 28(2021), 159-170.
  117. 56. A. K. Tripathy, S. S. Santra; Necessary and sufficient conditions for oscillation of second order differential equations with nonpositive neutral coefficients, Math. Bohe., 146(2021), 185-197.
  118. 55. A. K. Tripathy; On positive periodic solutions of a class of first order neutral differential equations, Glob. J. Pure and Appl. Math. , 16(2020), 811-818.
  119. 54. A. K. Tripathy, S. S. Santra; On oscillatory second order nonlinear impulsive systems of neutral type, Stud. Univ. Babes-Bolyai Math. 65(2020), 503-519.
  120. 53. A. K. Tripathy, G. N. Chhatria; On oscillatory first order neutral impulsive difference equations, Math. Bohemica, 145 (2020), 361-375.
  121. 52. A. K. Tripathy, G. N. Chhatria; Nonlinear second order impulsive difference equations and their oscillation properties Tatra Mt. Math. Publ., 76(2020), 171-190.
  122. 51.A. K. Tripathy; Oscillation of unbounded solutions of fourth order neutral dynamic equations via Taylor’s formula, Func. Diff. Equ. , 27(2020), 15-28.
  123. 50. A. K. Tripathy; On Unbounded oscillation of fourth order functional difference equations, Diff. Equ. Appl., 3(2020), 259-275.
  124. 49. A. K. Tripathy, S. S. Santra; Necessary and sufficient conditions for oscillations to a second order neutral differential equation with impulses, Kragujevac J. Math. 47(2023), 81-93.
  125. 48. A. K. Tripathy, G. N. Chhatria; Oscillation of second order nonlinear impulsive differential equations with nonpositive neutral coefficients, J. Nonlin. Model. Anal., 2(2020), 525-540.
  126. 47. A. K. Tripathy, G. N. Chhatria; On the behavior of solutions of neutral impulsive difference equations of second order, Math. Commun. 25(2020), 297-314.
  127. 46. A. K. Tripathy, S. S. Santra; On oscillatory nonlinear forced neutral impulsive systems of second order, Nonlinear Oscillation 23(2020), 274-288.
  128. 45. N. Parhi, A. K. Tripathy; Characterization of higher-order neutral difference equations with several delays, Inter. J. Diff. Equs., 14(2019), 127-148.
  129. 44. A. K. Tripathy, G. N. Chhatria; Oscillation of second order nonlinear impulsive neutral differential equations, Int. J. Appl. Compu. Math. 5(2019), 1-12.
  130. 43. S. S. Santra, A. K. Tripathy; On oscillatory first order nonlinear neutral differential equations with nonlinear impulse, J. Appl. Math. Compu. 59(2019), 257-270.
  131. 42. A. K. Tripathy, G. N. Chhatria; Oscillation Criteria for forced first order nonlinear neutral impulsive difference system, Tatra Mountain Math. Publ. 71(2018), 175-193.
  132. 41. A. K. Tripathy, A. K. Sethi; Sufficient conditions for oscillation and nonoscillation of a class of second order neutral differential equations, Adv. Dyn. Syst. Appl., 13(2018), 73-90.
  133. 40. S. S. Santra, A. K. Tripathy; Oscillation of unforced impulsive neutral delay differential equations of first order, Commu. Appl. Anal., 22(2018), 567-582.
  134. 39. A. K. Tripathy; Oscillation of a class of neutral delay dynamic equations of fourth order, Glo. Stoch. Anal., 5(2018), 15-29.
  135. 38. A. K. Tripathy, P. Senapati: Hyers-Ulam stability of first order linear difference operators on Banach space, J. Adv. Math. 14(2018), 1-11.
  136. 37. A. K. Sethi, A. K. Tripathy; Oscillation of sublinear second order neutral differential equations via Riccati transformation, Springer Proceedings in Mathematics & Statistics 230(2018), 543-557.
  137. 36. A. K. Tripathy; New oscillation criteria for a class of second order neutral delay dynamic equations, DCDIS: Series A- Mathematical Analysis, 25(2018), 141-157.
  138. 35. A. K. Tripathy; On oscillatory nonlinear fourth order difference equations with delays, Mathematica Bohemica, 1(2018), 25-40.
  139. 34. A. K. Tripathy; Hyers-Ulam stability of second order linear difference equations, Int. J. Diff. Appl., 1(2017), 53-65.
  140. 33. A. K. Sethi, A. K. Tripathy; Riccati transformation and oscillation of superlinear second order functional differential equations, Proceeding DSTA-2017, Mathematical and Numerical Aspects of Dynamical System Analysis, 479-490.
  141. 32. A. K. Tripathy, S. S. Santra: Characterization of a class of second order neutral impulsive systems via pulsatile constant, Diff. Equ. Appl., 9(2017), 87-98.
  142. 31. A. K. Tripathy, A. K. Sethi; Oscillation of sublinear and superlinear second order neutral differential equations, IJPAM, 113(2017), 73-91.
  143. 30. A. K. Tripathy, S. S. Santra, S. Pinelas; Necessary and sufficient conditions for asymptotic behavior of solutions of a class of first-order impulsive systems, Adv. Dyn. Sys. Appl. 11(2016), 135-145.
  144. 29. A. K. Tripathy, S. S. Santra: Pulsatile constant and characterization of first order neutral impulsive differential equations, Commu. Appl. Anal., 20(2016), 65-76.
  145. 28. A. K. Tripathy; New oscillation criteria for fourth order neutral dynamic equations, Commu. Appl. Anal., 20(2016), 13-24.
  146. 27. A. K. Tripathy, B. Panda; On oscillatory fourth-order non-linear neutral differential equations, Int. J. Dyn. Sys. Diff. Equ., 6(2016), 147-160.
  147. 26. A. K. Tripathy, B. Panda, A. K. Sethi; On oscillatory nonlinear second order neutral delay differential equations, Differ. Equ. Appl. 8(2016), 247-258.
  148. 25. A. K. Tripathy, S. S. Santra; Oscillation properties of a class of second order impulsive differential systems of neutral type, Functional Diff. Equ., 23(2016), 57-71.
  149. 24. A. K. Tripathy, S. S. Santra; Necessary and sufficient conditions for oscillation of a class of first order impulsive differential equations, Functional Diff. Equ., 22(2015), 149-167.
  150. 23. A. K. Tripathy, R. R. Mohanta; Oscillation properties of a class of second order neutral differential equations with piecewise constant arguments, Rom. J. Math. Comp. Sci. 5(2015), 178-190.
  151. 22. A. K. Tripathy, A. Satapathy; Hyers-Ulam stability of fourth order Euler’s differential equations, J. Compu. Sci. Appl. Math., 1(2015), 49-58.
  152. 21. A. K. Tripathy, S. Panigrahi, P. R. Reddy; Oscillation of nonlinear fourth order mixed neutral dynamic equations, Functional Diff. Equ., 21(2015), 69-91.
  153. 20. A. K. Tripathy, S. Panigrahi, P. R. Reddy; Oscillation of a class of fourth order functional dynamic equations, Functional Diff. Equ., 21(2014), 91-108.
  154. 19. A. K. Tripathy, S. Panigrahi, R. Basu; Oscillatory and asymptotic behavior of fourth order nonlinear neutral delay differential equations with positive and negative coefficients, Nr 52(2014), 155-174.
  155. 18. A. K. Tripathy, A. Satapathy; Hyers-Ulam stability of third order Euler’s differential equations, J. Nonlinear Dyn. 2014(2014), 1-6.
  156. 17. A. K. Tripathy; New oscillation criteria for fourth order difference equations, Adv. Dyn. Syst. Appl. 8(2013), 387-399.
  157. 16. A.K.Tripathy; Oscillatory behavior of a class of nonlinear fourth order functional difference equations Inter.J.Difference Equ., 7(2012), pp. 79-97.
  158. 15. A.K.Tripathy; Riccati transformation and sublinear oscillation for second order neutral delay dynamic equations, J.Appl.Math.& Informatics, 30(2012),pp.1005-1021.
  159. 14. A. K. Tripathy; Oscillation theorems for fourth order nonlinear neutral equations with quasi-derivatives-I, Int. J. Math. Sci. Appl. 1(2011), pp.377-393.
  160. 13. A. K. Tripathy, K. V. V. Seshagiri Rao, Oscillation properties of a class of nonlinear differential equations of neutral type, Fasciculi Mathematici, Nr 48(2012),pp.129-144.
  161. 12. A.K.Tripathy; Asymptotic integration of higher order nonlinear neutral dynamic equations, Far East J. Appl. Math., 51 (2011), 27-44.
  162. 11. A. K. Tripathy, S. Panigrahi, Oscillation in nonlinear neutral difference equations with positive and negative coefficients, Inter. J.Difference Equations, Vol 5, Issue2 (2010), 251-265.
  163. 10. A. K. Tripathy, Oscillation properties of a class of neutral differential equations positive and negative coefficients, Fasciculi Mathematici Nr 45(2010), 133-155.
  164. 9. A. K. Tripathy, Oscillatory behavior of a class of nonlinear system of first difference equations, Inter.J.Difference Eqns., Vol 5, Issue 1(2010), 113-127.
  165. 8. A. K. Tripathy, Oscillation of a class of fourth order nonlinear mixed neutral difference equations Inter. J. Difference Equations, Vol 4, Issue 2 (2009).
  166. 7. A. K. Tripathy, Oscillation of a Class of Superlinear Neutral Difference Equations of Higher Order, Inter.J.Scint.Comp. (2007), 69 – 80.
  167. 6. N. Parhi and A. K. Tripathy, Oscillation of a Class of Neutral Difference Equations of First Order, J.Difference Equations Appl.9 (2003), 933 – 946.
  168. 5. N. Parhi and A. K. Tripathy, Oscillation of a Class of Forced Nonlinear Neutral Difference Equations of Higher Order, “Proceedings of the VIII Ramanujan Symposium on Recent Developments in Nonlinear Systems”, 2002.
  169. 4. N. Parhi and A. K. Tripathy, On Third Order Difference Equations, J.Difference Equations.Appl.8 (2002), 415 – 426.
  170. 3. N. Parhi and A. K. Tripathy, On Asymptotic Behaviour and Oscillation of Forced First Order Nonlinear Neutral Difference Equations, Fasciculi Mathematici, Nr 32 (2001), 83 – 95.
  171. 2. N. Parhi and A. K. Tripathy, On Oscillatory Third Order Difference Equations, J.Difference Equations.Appl.6 (2000), 53 – 74.
  172. 1. N. Parhi and A. K. Tripathy, Oscillatory Behaviour of Second Order Difference Equations, Commu.Appl.Nonlin.Anal.6 (1999), 79 – 100.

National Publications

    2010
  1. G.K. Panda and P. K. Ray, Some important properties of balancing and related number se- quences, Journal of the Orissa Mathematical Society, 29(2) (2010), 27-38.

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