V. Lakshmikantham

Personal Home Page

http://cos.fit.edu/math/faculty/laks/

Articles in Scholarly Journals [Incomplete List]

  1. Monotone iterative technique for functional differential equations with retardation and anticipation
    Nonlinear Analysis: Theory, Methods & Applications, vol. 66, no. 10, pp. 2237–2242, 2007
  2. Hybrid unified theory
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 10, pp. 2769–2783, 2007
  3. Functional differential systems with retardation and anticipation
    Nonlinear Analysis: Real World Applications, vol. 8, no. 3, pp. 865–871, 2007
  4. On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order?
    Journal of Mathematical Analysis and Applications, vol. 324, no. 2, pp. 1242–1261, 2006
  5. Fixed point theorems in partially ordered metric spaces and applications
    Nonlinear Analysis, vol. 65, no. 7, pp. 1379–1393, 2006
  6. Hybrid systems with time scales and impulses
    Nonlinear Analysis, vol. 65, no. 11, pp. 2147–2152, 2006
  7. Generalized flow invariance for differential inclusions
    Journal of Applied Mathematics and Stochastic Analysis, vol. 2006, Article ID 49431, 7 pages, 2006
  8. Set differential equations versus fuzzy differential equations
    Applied Mathematics and Computation, vol. 164, no. 2, pp. 277–294, 2005
  9. Generalized quasilinearization versus Newton?s method
    Applied Mathematics and Computation, vol. 164, no. 2, pp. 523–530, 2005
  10. Nonresonant singular boundary value problems with sign changing nonlinearities
    Applied Mathematics and Computation, vol. 167, no. 2, pp. 1236–1248, 2005
  11. Viability theory and fuzzy differential equations
    Fuzzy Sets and Systems, vol. 151, no. 3, pp. 563–580, 2005
  12. Set valued functions in Fr?chet spaces: Continuity, Hukuhara differentiability and applications to set differential equations
    Nonlinear Analysis, vol. 61, no. 4, pp. 559–575, 2005
  13. Nonlinear variation of parameters formula for set differential equations in a metric space
    Nonlinear Analysis, vol. 63, no. 5-7, pp. 735–744, 2005
  14. Stability in terms of two measures of hybrid systems with partially visible solutions
    Nonlinear Analysis, vol. 62, no. 8, pp. 1536–1543, 2005
  15. Editorial
    Nonlinear Analysis, vol. 62, no. 5, pp. 775–776, 2005
  16. Editorial
    Nonlinear Analysis, vol. 63, no. 5-7, pp. 643–643, 2005
  17. Revisiting fuzzy differential equations
    Nonlinear Analysis, vol. 58, no. 3-4, pp. 351–358, 2004
  18. FORMULAS OF BENDIXSON AND ALEKSEEV FOR DIFFERENCE EQUATIONS
    Bulletin of the London Mathematical Society, vol. 36, no. 1, pp. 65–71, 2004
  19. A generalized upper and lower solution method for singular initial value problems
    Computers & Mathematics with Applications, vol. 47, no. 4-5, pp. 739–750, 2004
  20. Fuzzy Volterra Integral Equations: A Stacking Theorem Approach
    Applicable Analysis, vol. 83, no. 5, pp. 521–532, 2004
  21. Set Differential Equations and Flow Invariance
    Applicable Analysis, vol. 82, no. 4, pp. 357–368, 2003
  22. Existence criteria for singular boundary value problems modelling the membrane response of a spherical cap
    Nonlinear Analysis: Real World Applications, vol. 4, no. 2, pp. 223–244, 2003
  23. Interconnection between set and fuzzy differential equations
    Nonlinear Analysis, vol. 54, no. 2, pp. 351–360, 2003
  24. Initial and boundary value problems for fuzzy differential equations
    Nonlinear Analysis, vol. 54, no. 3, pp. 405–415, 2003
  25. Existence and interrelation between set and fuzzy differential equations
    Nonlinear Analysis, vol. 55, no. 3, pp. 255–268, 2003
  26. A stacking theorem approach for fuzzy differential equations
    Nonlinear Analysis, vol. 55, no. 3, pp. 299–312, 2003
  27. Discrete Second Order Inclusions
    The Journal of Difference Equations and Applications, vol. 9, no. 10, pp. 879–885, 2003
  28. Basic Theory of Fuzzy Difference Equations
    The Journal of Difference Equations and Applications, vol. 8, no. 11, pp. 957–968, 2002
  29. Hybrid systems on time scales
    Journal of Computational and Applied Mathematics, vol. 141, no. 1-2, pp. 227–235, 2002
  30. An upper and lower solution theory for singular Emden–Fowler equations
    Nonlinear Analysis: Real World Applications, vol. 3, no. 2, pp. 275–291, 2002
  31. Generalized quasilinearization method for reaction–diffusion equations under nonlinear and nonlocal flux conditions
    Journal of Mathematical Analysis and Applications, vol. 271, no. 1, pp. 182–205, 2002
  32. Nonuniform nonresonance at the first eigenvalue for singular boundary value problems with sign changing nonlinearities
    Journal of Mathematical Analysis and Applications, vol. 274, no. 1, pp. 404–423, 2002
  33. Generalized quasilinearization and semilinear parabolic problems
    Nonlinear Analysis, vol. 48, no. 7, pp. 947–960, 2002
  34. On the Dirichlet problem for fourth-order linear hyperbolic equations
    Nonlinear Analysis, vol. 49, no. 2, pp. 197–219, 2002
  35. On doubly periodic solutions of fourth-order linear hyperbolic equations
    Nonlinear Analysis, vol. 49, no. 1, pp. 87–112, 2002
  36. Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach
    Nonlinear Analysis, vol. 50, no. 2, pp. 215–222, 2002
  37. On the Dirichlet problem in a characteristic rectangle for higher order linear hyperbolic equations
    Nonlinear Analysis, vol. 50, no. 8, pp. 1153–1178, 2002
  38. A unified monotone iterative technique for semilinear elliptic boundary value problems
    Nonlinear Analysis, vol. 51, no. 4, pp. 567–586, 2002
  39. Preface
    Nonlinear Analysis, vol. 47, no. 1, pp. 1–2, 2001
  40. Strict practical stability of delay differential equation
    Applied Mathematics and Computation, vol. 118, no. 2-3, pp. 275–285, 2001
  41. Strict stability of differential equations
    Nonlinear Analysis, vol. 46, no. 7, pp. 915–921, 2001
  42. Generalized quasilinearization and quasilinear elliptic problems
    Nonlinear Analysis, vol. 46, no. 8, pp. 1101–1109, 2001
  43. Strict practical stability of delay differential equation
    Applied Mathematics and Computation, vol. 122, no. 3, pp. 341–351, 2001
  44. Twin nonnegative solutions for higher-order boundary value problems
    Nonlinear Analysis, vol. 43, no. 1, pp. 61–73, 2001
  45. Journal of Optimization Theory and Applications, vol. 109, no. 1, pp. 27–50, 2001
  46. A unified approach to monotone iterative technique for quasilinear elliptic problems
    Applicable Analysis, vol. 79, no. 3, pp. 391–403, 2001
  47. Existence criteria for singular initial value problems with sign changing nonlinearities
    Mathematical Problems in Engineering, vol. 7, no. 6, pp. 503–524, 2001
  48. Existence of fixed points of fuzzy mappings via theory of fuzzy differential equations
    Journal of Computational and Applied Mathematics, vol. 113, no. 1-2, pp. 195–200, 2000
  49. Proximal (sub-)differential inequalities
    Nonlinear Analysis, vol. 39, no. 2, pp. 111–133, 2000
  50. Singular (p,n-p) focal and (n,p) higher order boundary value problems
    Nonlinear Analysis, vol. 42, no. 2, pp. 215–228, 2000
  51. O(n3) noniterative heuristic algorithm for linear programs with error-free implementation
    Applied Mathematics and Computation, vol. 110, no. 1, pp. 53–81, 2000
  52. A brief biography and survey of collected works of V. Lakshmikantham
    Nonlinear Analysis, vol. 40, no. 1-8, pp. 1–19, 2000
  53. Generalized Quasilinearization and Semilinear Elliptic Boundary Value Problems
    Journal of Mathematical Analysis and Applications, vol. 249, no. 1, pp. 199–220, 2000
  54. Uncertain Systems and Fuzzy Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 251, no. 2, pp. 805–817, 2000
  55. Complicated dynamics in a delay Klein–Gordon equation
    Nonlinear Analysis, vol. 38, no. 1, pp. 75–85, 1999
  56. Excitability of a second-order delay differential equation
    Nonlinear Analysis, vol. 38, no. 1, pp. 1–11, 1999
  57. Differential inequalities with initial time difference and applications
    Journal of Inequalities and Applications, vol. 3, no. 3, pp. 233–244, 1999
  58. Another approach to the theory of differential inequalities relative to changes in the initial times
    Journal of Inequalities and Applications, vol. 4, no. 2, pp. 163–174, 1999
  59. Variational Lyapunov method and stability theory
    Mathematical Problems in Engineering, vol. 3, no. 6, pp. 555–571, 1998
  60. Uniform asymptotic stability criteria for functional differential equations in terms of two measures
    Nonlinear Analysis, vol. 34, no. 1, pp. 1–6, 1998
  61. Convex dependence of solutions of differential equations in a Banach space relative to initial time
    Nonlinear Analysis, vol. 34, no. 5, pp. 629–635, 1998
  62. Positivity and boundedness of solutions of impulsive reaction-diffusion equations
    Journal of Computational and Applied Mathematics, vol. 88, no. 1, pp. 175–184, 1998
  63. Stability of moving invariant sets and uncertain dynamic systems on time scales
    Computers & Mathematics with Applications, vol. 36, no. 10-12, pp. 339–346, 1998
  64. Monotone iterations for differential equations with a parameter
    Journal of Applied Mathematics and Stochastic Analysis, vol. 10, no. 3, pp. 273–278, 1997
  65. Solving linear programming problems exactly
    Applied Mathematics and Computation, vol. 81, no. 1, pp. 69–87, 1997
  66. Methods of generalized quasilinearization for periodic boundary value problems
    Nonlinear Analysis, vol. 27, no. 2, pp. 143–151, 1996
  67. Convex dependence of solutions of differential equations in a banach space relative to initial data
    Nonlinear Analysis, vol. 27, no. 12, pp. 1351–1354, 1996
  68. Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions
    Nonlinear Analysis, vol. 26, no. 9, pp. 1555–1564, 1996
  69. Further improvement of generalized quasilinearization method
    Nonlinear Analysis, vol. 27, no. 2, pp. 223–227, 1996
  70. A unified theory for first-order discontinuous scalar differential equations
    Nonlinear Analysis, vol. 26, no. 4, pp. 785–797, 1996
  71. Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials
    Nonlinear Analysis, vol. 25, no. 7, pp. 729–745, 1995
  72. On the properties of the solution set of semilinear evolution inclusions
    Nonlinear Analysis, vol. 24, no. 12, pp. 1683–1712, 1995
  73. Improved generalized quasilinearization (GQL) method
    Nonlinear Analysis, vol. 24, no. 11, pp. 1627–1637, 1995
  74. Extensions of the method of quasilinearization
    Journal of Optimization Theory and Applications, vol. 87, no. 2, pp. 379–401, 1995
  75. Editorial
    Mathematical Problems in Engineering, vol. 1, no. 1, pp. 1–1, 1995
  76. Stability of conditionally invariant sets and controlled uncertain dynamic systems on time scales
    Mathematical Problems in Engineering, vol. 1, no. 1, pp. 1–10, 1995
  77. On mild solutions of first order discontinuous semiliear differential equations in banach spaces
    Applicable Analysis, vol. 56, no. 1, pp. 131–146, 1995
  78. Monotone flows and fixed points for dynamic systems on time scales in a banach space
    Applicable Analysis, vol. 56, no. 1, pp. 175–184, 1995
  79. Further generalization of generalized quasilinearization method
    Journal of Applied Mathematics and Stochastic Analysis, vol. 7, no. 4, pp. 545–552, 1994
  80. An extension of the method of quasilinearization
    Journal of Optimization Theory and Applications, vol. 82, no. 2, pp. 315–321, 1994
  81. Stabilizing Trench's algorithm to invert symmetric Toeplitz matrices
    Applied Mathematics and Computation, vol. 60, no. 2-3, pp. 249–263, 1994
  82. Concise row-pruning algorithm to invert a matrix
    Applied Mathematics and Computation, vol. 61, no. 1, pp. 17–24, 1994
  83. Monotone flows and fixed points for dynamic systems on time scales
    Computers & Mathematics with Applications, vol. 28, no. 1-3, pp. 185–189, 1994
  84. Periodic solutions of nonlinear evolution inclusions
    Journal of Computational and Applied Mathematics, vol. 52, no. 1-3, pp. 277–286, 1994
  85. Cone-valued Lyapunov functions and stability theory
    Nonlinear Analysis, vol. 22, no. 3, pp. 381–390, 1994
  86. On the method of upper and lower solutions for discontinuous boundary value problems
    Nonlinear Analysis, vol. 23, no. 2, pp. 265–273, 1994
  87. Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times
    Nonlinear Analysis, vol. 22, no. 10, pp. 1263–1270, 1994
  88. Comparison principle for impulsive differential equations with variable times and stability theory
    Nonlinear Analysis, vol. 22, no. 4, pp. 499–503, 1994
  89. On the second order mixed quasimonotone periodic boundary value systems in ordered Banach spaces
    Nonlinear Analysis, vol. 20, no. 9, pp. 1135–1144, 1993
  90. A general model of evolutionary processes. Exponential dichotomy—I
    Nonlinear Analysis, vol. 21, no. 3, pp. 207–218, 1993
  91. Strict stability criteria for impulsive differential systems
    Nonlinear Analysis, vol. 21, no. 10, pp. 785–794, 1993
  92. Extremal Solutions of Functional Differential Inclusions
    Journal of Mathematical Analysis and Applications, vol. 173, no. 2, pp. 430–435, 1993
  93. An Inequality Sorting Algorithm for a Class of Linear Programming Problems
    Journal of Mathematical Analysis and Applications, vol. 174, no. 2, pp. 450–460, 1993
  94. Development of the direct Lyapunov method for delay systems (survey)
    International Applied Mechanics, vol. 29, no. 2, pp. 83–96, 1993
  95. The method of upper and lower solutions and monotone technique for impulsive differential equations with variable moments
    Applicable Analysis, vol. 51, no. 1, pp. 41–58, 1993
  96. On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities
    Journal of Applied Mathematics and Stochastic Analysis, vol. 5, no. 1, pp. 1–17, 1992
  97. Lyapunov's direct method in stability theory (review)
    International Applied Mechanics, vol. 28, no. 3, pp. 135–144, 1992
  98. Fixed point results in ordered normed spaces with applications to abstract and differential equations
    Journal of Mathematical Analysis and Applications, vol. 163, no. 2, pp. 422–437, 1992
  99. Impulsive differential systems for two-point boundary value problems
    Applied Mathematics and Computation, vol. 50, no. 2-3, pp. 157–166, 1992
  100. Existence and uniqueness theorems for a third-order three-point boundary value problem
    Nonlinear Analysis, vol. 16, no. 11, pp. 949–957, 1991
  101. New directions in the method of vector Lyapunov functions
    Nonlinear Analysis, vol. 16, no. 3, pp. 255–262, 1991
  102. Lyapunov functions on product spaces and stability theory of delay differential equations
    Journal of Mathematical Analysis and Applications, vol. 154, no. 2, pp. 391–402, 1991
  103. Applications of interval analysis to minimal and maximal solutions of differential equations
    Applied Mathematics and Computation, vol. 41, no. 1, pp. 77–87, 1991
  104. An existence result about periodic boundary value problems of second order differential equations
    Applicable Analysis, vol. 40, no. 1, pp. 1–10, 1991
  105. Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
    Applicable Analysis, vol. 40, no. 1, pp. 11–19, 1991
  106. A new approach to monotone iterative technique for solution of differential equations
    Applicable Analysis, vol. 39, no. 2, pp. 113–117, 1990
  107. Multivalued differential inequalities
    Nonlinear Analysis, vol. 14, no. 12, pp. 1105–1110, 1990
  108. On asymptotic stability for nonautonomous differential systems
    Nonlinear Analysis, vol. 13, no. 10, pp. 1181–1189, 1989
  109. Periodic boundary value problems for second order impulsive differential systems
    Nonlinear Analysis, vol. 13, no. 1, pp. 75–85, 1989
  110. On quasi stability for impulsive differential systems
    Nonlinear Analysis, vol. 13, no. 7, pp. 819–828, 1989
  111. Stability for impulsive differential systems in terms of two measures
    Applied Mathematics and Computation, vol. 29, no. 1, pp. 89–98, 1989
  112. Perturbing families of Lyapunov functions and stability in terms of two measures
    Journal of Mathematical Analysis and Applications, vol. 140, no. 1, pp. 107–114, 1989
  113. Some remarks on generalized Riemann integral
    Journal of Mathematical Analysis and Applications, vol. 137, no. 2, pp. 515–527, 1989
  114. Stability criteria for impulsive differential equations in terms of two measures
    Journal of Mathematical Analysis and Applications, vol. 137, no. 2, pp. 591–604, 1989
  115. Impulsive differential systems and the pulse phenomena
    Journal of Mathematical Analysis and Applications, vol. 137, no. 2, pp. 605–612, 1989
  116. Periodic boundary value problems of first and second order differential equations
    Journal of Applied Mathematics and Stochastic Analysis, vol. 2, no. 3, pp. 131–138, 1989
  117. Impulsive integro-differentiai equations and extension of lyapunov's method
    Applicable Analysis, vol. 32, no. 3, pp. 435–447, 1989
  118. Positive solutions of nonlinear integral equations arising in infectious diseases
    Journal of Mathematical Analysis and Applications, vol. 134, no. 1, pp. 1–8, 1988
  119. Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces
    Journal of Mathematical Analysis and Applications, vol. 129, no. 1, pp. 211–222, 1988
  120. Nonlinear variation of parameters formula for integro-differential equations of volterra type
    Journal of Mathematical Analysis and Applications, vol. 129, no. 1, pp. 223–230, 1988
  121. The method of upper and lower solutions and interval method for first order differential equations
    Applied Mathematics and Computation, vol. 23, no. 1, pp. 1–5, 1987
  122. Method of mixed monotony for nonlinear equations with a singular linear part
    Applied Mathematics and Computation, vol. 23, no. 3, pp. 235–241, 1987
  123. Coupled fixed points of nonlinear operators with applications
    Nonlinear Analysis, vol. 11, no. 5, pp. 623–632, 1987
  124. Integral and integro-differential inequalities
    Applicable Analysis, vol. 24, no. 3, pp. 157–164, 1987
  125. Stability in variation for nonlinear integro-differential equations
    Applicable Analysis, vol. 24, no. 3, pp. 165–173, 1987
  126. Periodic boundary value problems for second order integro-differential equations of volterra type
    Applicable Analysis, vol. 21, no. 3, pp. 199–205, 1986
  127. Monotone iterative technique for delay differential equations
    Applicable Analysis, vol. 22, no. 3, pp. 227–233, 1986
  128. Periodic boundary value problems for integro-differential equations of volterra type
    Nonlinear Analysis, vol. 10, no. 11, pp. 1203–1208, 1986
  129. The method of mixed monotony and first order differential systems
    Nonlinear Analysis, vol.