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3 results

  • Almost Periodicity and Lyapunov's Functions for Impulsive Functional Differential Equations with Infinite Delays

  • Gani Tr. Stamov
  • Journal:
    Canadian Mathematical Bulletin / Volume 53 / Issue 2 / 01 June 2010
    Published online by Cambridge University Press:
    20 November 2018, pp. 367-377
    Print publication:
    01 June 2010
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  • This paper studies the existence and uniqueness of almost periodic solutions of nonlinear impulsive functional differential equations with infinite delay. The results obtained are based on the Lyapunov–Razumikhin method and on differential inequalities for piecewise continuous functions.

  • APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS

  • Yu Tian, Weigao Ge
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 51 / Issue 2 / June 2008
    Published online by Cambridge University Press:
    28 July 2008, pp. 509-527
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  • In this paper, we investigate the existence of positive solutions to a second-order Sturm–Liouville boundary-value problem with impulsive effects. The ideas involve differential inequalities and variational methods.

  • THREE NONNEGATIVE SOLUTIONS FOR SECOND-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH A THREE-POINT BOUNDARY VALUE PROBLEM

  • Part of
  • JIANLI LI, JIANHUA SHEN
  • Journal:
    The ANZIAM Journal / Volume 49 / Issue 3 / January 2008
    Published online by Cambridge University Press:
    01 January 2008, pp. 337-346
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  • In this paper, by using the Leggett–Williams fixed point theorem, we prove the existence of three nonnegative solutions to second-order nonlinear impulsive differential equations with a three-point boundary value problem.