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Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces

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  • John R. Graef
  • Abdelghani Ouahab

Abstract

A recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas is used to investigate the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite delay. An example to illustrate the results is included.

Suggested Citation

  • John R. Graef & Abdelghani Ouahab, 2006. "Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-16, July.
    • Handle: RePEc:hin:jijmms:031256
    DOI: 10.1155/IJMMS/2006/31256
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    Cited by:

    1. Dimplekumar N. Chalishajar & Kulandhivel Karthikeyan & Annamalai Anguraj, 2016. "Existence of Semi Linear Impulsive Neutral Evolution Inclusions with Infinite Delay in Frechet Spaces," Mathematics, MDPI, vol. 4(2), pages 1-17, April.

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