EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY-Reference-Cited by-同舟云学术

EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

Published:2008-12 Issue:04 Volume:01 Page:449-468
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Abada Nadjet¹,Agarwal Ravi P.²,Benchohra Mouffak³,Hammouche Hadda⁴

Affiliation:

1. Département de Mathématiques, Université Mentouri de Constantine, Algérie

2. Department of Mathematical Sciences, Florida Institute of Technology, Melboune, Florida, 32901-6975, USA

3. Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000 Sidi Bel Abbès, Algérie

4. Département de Mathématiques, Université Kasdi Merbah de Ouargla, Algérie

Abstract

In this paper, we shall establish sufficient conditions for the existence of integral solutions for some nondensely defined impulsive semilinear functional differential equations with state-dependent delay in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557108000382

Reference48 articles.

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