Open Access Research

Existence of solutions for weighted p(r)-Laplacian impulsive system mixed type boundary value problems

Li Yin1, Yunrui Guo2, Guizhen Zhi1 and Qihu Zhang1*

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Author affiliations

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

2 Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan 453003, China

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Citation and License

Boundary Value Problems 2011, 2011:42 doi:10.1186/1687-2770-2011-42

Published: 1 November 2011

Abstract

This paper investigates the existence of solutions for weighted p(r)-Laplacian impulsive system mixed type boundary value problems. The proof of our main result is based upon Gaines and Mawhin's coincidence degree theory. Moreover, we obtain the existence of nonnegative solutions.

Keywords:
Weighted p(r)-Laplacian; impulsive system; coincidence degree