Electronic Journal of Qualitative Theory of Differential Equations (Apr 2009)

Existence results for impulsive neutral functional differential equations with state-dependent delay

  • Mani Mallika Arjunan,
  • V. Kavitha

DOI
https://doi.org/10.14232/ejqtde.2009.1.26
Journal volume & issue
Vol. 2009, no. 26
pp. 1 – 13

Abstract

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In this article, we study the existence of mild solutions for a class of impulsive abstract partial neutral functional differential equations with state-dependent delay. The results are obtained by using Leray-Schauder Alternative fixed point theorem. Example is provided to illustrate the main result.