Lokenath Debnath

Articles in Scholarly Journals [Incomplete List]

  1. Weighted generalization of Rado’s inequality and Popoviciu’s inequality
    Applied Mathematics Letters, vol. 21, no. 4, pp. 313–319, 2008
  2. A new generalization of Aczél’s inequality and its applications to an improvement of Bellman’s inequality
    Applied Mathematics Letters, vol. 21, no. 6, pp. 588–593, 2008
  3. Jordan-type inequalities for differentiable functions and their applications
    Applied Mathematics Letters, vol. 21, no. 8, pp. 803–809, 2008
  4. Generalizations of a parameterized Jordan-type inequality, Janous’s inequality and Tsintsifas’s inequality
    Applied Mathematics Letters, 2008
  5. Existence of monotone positive solutions to a third order two-point generalized right focal boundary value problem
    Computers & Mathematics with Applications, vol. 55, no. 3, pp. 356–367, 2008
  6. Bounded oscillation criteria for second-order nonlinear delay difference equations of unstable type
    Computers & Mathematics with Applications, 2008
  7. Symmetric anti-eigenvalue and symmetric anti-eigenvector
    Journal of Mathematical Analysis and Applications, vol. 345, no. 2, pp. 771–776, 2008
  8. Some refined families of Jordan-type inequalities and their applications
    Integral Transforms and Special Functions, vol. 19, no. 3, pp. 183–193, 2008
  9. Some properties of the Mittag-Leffler functions
    Integral Transforms and Special Functions, vol. 18, no. 5, pp. 329–336, 2007
  10. POPULAR WAVELET MODELS
    International Journal of Wavelets, Multiresolution and Information Processing, vol. 05, no. 04, p. 655, 2007
  11. On new generalizations of the Hilbert integral inequality
    Journal of Mathematical Analysis and Applications, vol. 326, no. 2, pp. 1452–1457, 2007
  12. On linear and nonlinear Rossby waves in an ocean
    Journal of Mathematical Analysis and Applications, vol. 333, no. 1, pp. 164–190, 2007
  13. Generalization of the Wolstenholme cyclic inequality and its application
    Computers & Mathematics with Applications, vol. 53, no. 1, pp. 104–114, 2007
  14. Inequalities for convex sequences and their applications
    Computers & Mathematics with Applications, vol. 54, no. 4, pp. 525–534, 2007
  15. A new generalized and sharp version of Jordan’s inequality and its applications to the improvement of the Yang Le inequality, II
    Applied Mathematics Letters, vol. 20, no. 5, pp. 532–538, 2007
  16. Existence of positive periodic solutions for a class of functional differential equations
    Applied Mathematics and Computation, vol. 190, no. 1, pp. 699–704, 2007
  17. A brief historical introduction to solitons and the inverse scattering transform-a vision of Scott Russell
    International Journal of Mathematical Education in Science and Technology, vol. 38, no. 8, pp. 1003–1028, 2007
  18. Oscillations of solutions of second order quasilinear differential equations with impulses
    Journal of Applied Mathematics and Computing, vol. 24, no. 1-2, pp. 1–16, 2007
  19. Propagation of surface waves on irregular bed topography
    Journal of Applied Mathematics and Computing, vol. 20, no. 1-2, pp. 197–208, 2006
  20. Two layer transient water waves over a viscoelastic ocean bed
    Journal of Applied Mathematics and Computing, vol. 22, no. 3, pp. 133–147, 2006
  21. On a new simple method for evaluation of certain multiple definite integrals
    International Journal of Mathematical Education in Science and Technology, vol. 37, no. 5, pp. 624–628, 2006
  22. A brief historical introduction to fractals and fractal geometry
    International Journal of Mathematical Education in Science and Technology, vol. 37, no. 1, pp. 29–50, 2006
  23. New oscillation criteria for first order delay differential equations in a critical state☆
    Applied Mathematics Letters, vol. 19, no. 11, pp. 1237–1243, 2006
  24. A new generalized and sharp version of Jordan’s inequality and its applications to the improvement of the Yang Le inequality
    Applied Mathematics Letters, vol. 19, no. 12, pp. 1378–1384, 2006
  25. Tempered distributional Fourier sine (cosine) transform
    Integral Transforms and Special Functions, vol. 17, no. 11, pp. 759–768, 2006
  26. Some new Brunn-Minkowski-type inequalities in convex bodies
    International Journal of Mathematics and Mathematical Sciences, vol. 2005, no. 6, pp. 895–915, 2005
  27. On eigenvalue intervals and eigenfunctions of fourth-order singular boundary value problems
    Applied Mathematics Letters, vol. 18, no. 5, pp. 543–553, 2005
  28. A necessary and sufficient condition for the existence of positive solutions of singular boundary value problems
    Applied Mathematics Letters, vol. 18, no. 8, pp. 881–889, 2005
  29. A study of magneto-thermoelastic problems with thermal relaxation and heat sources in a three-dimensional infinite rotating elastic medium
    International Journal of Engineering Science, vol. 43, no. 19-20, pp. 1419–1434, 2005
  30. Convection in Hele?Shaw cell with parametric excitation
    International Journal of Non-Linear Mechanics, vol. 40, no. 4, pp. 475–484, 2005
  31. The general form of Hilbert’s inequality and its converses
    Analysis Mathematica, vol. 31, no. 3, pp. 163–173, 2005
  32. Wavelet transforms for integrable Boehmians
    Journal of Mathematical Analysis and Applications, vol. 296, no. 2, pp. 473–478, 2004
  33. On elastodynamical problem of interfacial Griffith cracks in composite media
    International Journal of Engineering Science, vol. 42, no. 7, pp. 735–752, 2004
  34. Eigen value approach to study the effect of rotation and relaxation time in two dimensional problems of generalized thermoelasticity
    International Journal of Engineering Science, vol. 42, no. 15-16, pp. 1573–1585, 2004
  35. Periodic positive solutions for adelay nonlinear differential equation with piecewise constant arguments
    Applied Mathematics Letters, vol. 17, no. 12, pp. 1323–1329, 2004
  36. A brief historical introduction to fractional calculus
    International Journal of Mathematical Education in Science and Technology, vol. 35, no. 4, pp. 487–501, 2004
  37. Generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings
    Applied Mathematics and Computation, vol. 149, no. 3, pp. 879–891, 2004
  38. The existence of positive entire solutions to singular nonlinear polyharmonic equations in Rn
    Applied Mathematics and Computation, vol. 151, no. 3, pp. 679–688, 2004
  39. Mixed Parseval equation and generalized Hankel-type integral transformation of distributions
    Integral Transforms and Special Functions, vol. 15, no. 5, pp. 431–443, 2004
  40. On Hankel type integral transformations of generalized functions
    Integral Transforms and Special Functions, vol. 15, no. 5, pp. 421–430, 2004
  41. A lower bound for ratio of power means
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 1, pp. 49–53, 2004
  42. Effects of modulation on Rayleigh-Benard convection. Part I
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 19, pp. 991–1001, 2004
  43. Quasi β-power increasing sequences
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 44, pp. 2371–2376, 2004
  44. Bounds for total antieigenvalue of a normal operator
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 70, pp. 3877–3884, 2004
  45. Generalizations of Bernoulli numbers and polynomials
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 59, pp. 3769–3776, 2003
  46. A generalization of Mulholland's inequality
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 56, pp. 3591–3597, 2003
  47. A more generalized Gronwall-like integral inequality with applications
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 15, pp. 927–934, 2003
  48. Generalizations of Euler numbers and polynomials
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 61, pp. 3893–3901, 2003
  49. Recent applications of fractional calculus to science and engineering
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 54, pp. 3413–3442, 2003
  50. On unsteady two-phase fluid flow due to eccentric rotation of a disk
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 53, pp. 3345–3353, 2003
  51. Oscillation of systems of certain neutral delay parabolic differential equations
    Journal of Applied Mathematics and Stochastic Analysis, vol. 16, no. 1, pp. 81–94, 2003
  52. On an even order neutral differential inequality
    Journal of Applied Mathematics and Stochastic Analysis, vol. 16, no. 3, pp. 257–265, 2003
  53. Positive entire solutions for a class of singular nonlinear polyharmonic equations on ?
    Applied Mathematics and Computation, vol. 140, no. 2-3, pp. 317–328, 2003
  54. Oscillation of higher-order neutral partial functional differential equations
    Applied Mathematics Letters, vol. 16, no. 4, pp. 525–530, 2003
  55. New strengthened Jordan's inequality and its applications
    Applied Mathematics Letters, vol. 16, no. 4, pp. 557–560, 2003
  56. Positive periodic solutions of a delayed model in population
    Applied Mathematics Letters, vol. 16, no. 4, pp. 561–565, 2003
  57. A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems
    Applied Mathematics Letters, vol. 16, no. 3, pp. 279–285, 2003
  58. Interaction between Griffith cracks in a sandwiched orthotropic layer
    Applied Mathematics Letters, vol. 16, no. 4, pp. 609–617, 2003
  59. Oscillation criteria for certain even-order damped functional differential equations
    Mathematical and Computer Modelling, vol. 37, no. 1-2, pp. 57–63, 2003
  60. Sensitivity analysis for parametric completely generalized nonlinear implicit quasivariational inclusions
    Journal of Mathematical Analysis and Applications, vol. 277, no. 1, pp. 142–154, 2003
  61. The kernel theorem for Cauchy ultradistribution
    Journal of Mathematical Analysis and Applications, vol. 282, no. 2, pp. 505–511, 2003
  62. Positive entire solutions of nonlinear polyharmonic equations in ?
    Applied Mathematics and Computation, vol. 126, no. 2-3, pp. 377–388, 2002
  63. Oscillation criteria for second-order quasilinear functional differential equations
    Computers & Mathematics with Applications, vol. 44, no. 5-6, pp. 731–739, 2002
  64. On the extended Hardy–Hilbert's inequality
    Journal of Mathematical Analysis and Applications, vol. 272, no. 1, pp. 187–199, 2002
  65. An Extension of Carlson's Inequality
    Journal of Mathematical Analysis and Applications, vol. 267, no. 1, pp. 395–399, 2002
  66. Unsteady flow induced by variable suction on a porous disk rotating eccentrically with a fluid at infinity
    International Journal of Mathematics and Mathematical Sciences, vol. 30, no. 4, pp. 193–201, 2002
  67. Completely generalized multivalued nonlinear quasi-variational inclusions
    International Journal of Mathematics and Mathematical Sciences, vol. 30, no. 10, pp. 593–604, 2002
  68. Hydrodynamic flow between rotating eccentric cylinders with suction at the porous walls
    International Journal of Mathematics and Mathematical Sciences, vol. 25, no. 2, pp. 93–113, 2001
  69. Some New Inverse Type Hilbert Integral Inequalities
    Journal of Mathematical Analysis and Applications, vol. 262, no. 1, pp. 411–418, 2001
  70. On a Moving Griffith Crack at the Interface of two Bonded Dissimilar Orthotropic Half-Planes
    ZAMM, vol. 81, no. 4, pp. 281–287, 2001
  71. Stress intensity factor around a Griffith carck in an orthotropic punched layer
    Mathematical and Computer Modelling, vol. 33, no. 8-9, pp. 957–963, 2001
  72. Propagation of waves in micropolar solid-solid semispaces in the presence of a compressional wave source in the upper solid substratum
    Mathematical and Computer Modelling, vol. 34, no. 5-6, pp. 557–563, 2001
  73. Oscillations of solutions of neutral differential equations with positive and negative coefficients
    Applied Mathematics Letters, vol. 14, no. 6, pp. 775–781, 2001
  74. The hydromagnetic flow of a dusty visco-elastic fluid between two infinite parallel plates
    Computers & Mathematics with Applications, vol. 39, no. 1-2, pp. 103–116, 2000
  75. On a refinement of Hilbert's inequality
    International Journal of Mathematical Education in Science and Technology, vol. 31, no. 5, pp. 773–779, 2000
  76. Study of a static cruciform crack problem in an orthotropic elastic plane
    Computers & Mathematics with Applications, vol. 40, no. 4-5, pp. 569–575, 2000
  77. The existence theorems of the random solutions for random Hammerstein type nonlinear integral equations
    Applied Mathematics Letters, vol. 13, no. 6, pp. 111–115, 2000
  78. Motion of a buoy on weakly viscous capillary gravity waves
    International Journal of Non-Linear Mechanics, vol. 35, no. 3, pp. 405–420, 2000
  79. Stress intensity factors around two co-planar Griffith cracks in an orthotropic layer sandwiched between two identical orthotropic half planes
    International Journal of Engineering Science, vol. 38, no. 2, pp. 121–133, 2000
  80. On New Generalizations of Hilbert's Inequality and Their Applications
    Journal of Mathematical Analysis and Applications, vol. 245, no. 1, pp. 248–265, 2000
  81. On Certain Inequalities Involving the Constant e and Their Applications*1
    Journal of Mathematical Analysis and Applications, vol. 249, no. 2, pp. 569–582, 2000