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Existence Result for Impulsive Differential Equations with Integral Boundary Conditions

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  • Peipei Ning
  • Qian Huan
  • Wei Ding

Abstract

We investigate the following differential equations: , with impulsive and integral boundary conditions , , , , where . The expression of Green's function and the existence of positive solution for the system are obtained. Upper and lower bounds for positive solutions are also given. When , , , and take different values, the system can be simplified to some forms which has been studied in the works by Guo and LakshmiKantham (1988), Guo et al. (1995), Boucherif (2009), He et al. (2011), and Atici and Guseinov (2001). Our discussion is based on the fixed point index theory in cones.

Suggested Citation

  • Peipei Ning & Qian Huan & Wei Ding, 2013. "Existence Result for Impulsive Differential Equations with Integral Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, April.
    • Handle: RePEc:hin:jnlaaa:134691
    DOI: 10.1155/2013/134691
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