Existence of solutions for weighted p(r)-Laplacian impulsive system mixed type boundary value problems
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
Boundary Value Problems 2011, 2011:42 doi:10.1186/1687-2770-2011-42Published: 1 November 2011
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.