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Anti-periodic Boundary Value Problem for Impulsive Differential Equations with Delay

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초록

The method of upper and lower solutions coupled with monotone iterative technique is used to obtain the results of existence and uniqueness for an anti-periodic boundary value problem of impulsive differential equations with delay.

Abstract

The method of upper and lower solutions coupled with monotone iterative technique is used to obtain the results of existence and uniqueness for an anti-periodic boundary value problem of impulsive differential equations with delay.

참고문헌 (9)

  1. Z. He, "Periodic boundary value for first order impulsive delay differential equations", Applied Math. Comput, 104, pp.51~63 (1999)
  2. G. Ballinger, "Existence, uniqueness and boundedness results for impulsive delay differential equations", Appl. Anal, 74, pp.71~93 (2000)
  3. F. Zhang, "Non-homogeneous Boundary Value Problem for First Order Impulsive Differential Equations with Delay", Comput. Appl. Math, 51, pp.927~936 (2006)
  4. M. Li, "Controllability of Impulsive Functional differential Systems in Banach Spaces", ChaosSolitons & Fractals, 29, pp.175~181 (2006)
  5. Y. Yin, "Monotone iterative technique and quasilinearization for some anti -periodic problems", Nonlinear Word, 3, pp.253~26 (1996)
  6. D. Fraco, "First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions", Nonlinear Anal, 42, pp.163~173 (2000)
  7. F. Zhang, "Anti-periodic and Nonlinear Boundary Problems for First Order Differential Equations with Piecewise Constant Arguments", Acta Math. Scientia, 23A(6), pp.641~649 (2003)
  8. S. R. Bernfeld, "Fixed point theorems systems", Appl. Anal, 6, pp.271~280 (1977)
  9. G. S. Ladde, "Monotone iterative techniques for nonlinear differential equations" (1985), Pitman Boston

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