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Solutions and nonnegative solutions for a weighted variable exponent impulsive integro-differential system with multi-point and integral mixed boundary value problems

Rong Dong and Qihu Zhang*

Author Affiliations

Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan, 450002, China

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Boundary Value Problems 2013, 2013:161  doi:10.1186/1687-2770-2013-161

Published: 5 July 2013

Abstract

This paper investigates the existence of solutions for a weighted <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/161/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/161/mathml/M2">View MathML</a>-Laplacian impulsive integro-differential system with multi-point and integral mixed boundary value problems via Leray-Schauder’s degree; sufficient conditions for the existence of solutions are given. Moreover, we get the existence of nonnegative solutions.

MSC: 34B37.

Keywords:
weighted <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/161/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/161/mathml/M2">View MathML</a>-Laplacian; impulsive integro-differential system; Leray-Schauder’s degree