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

Boundary value problems

Qihu Zhang¹  Guizhen Zhi¹  Li Yin¹  Yunrui Guo² 

[1] Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, China;Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China

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

DOI  :  10.1186/1687-2770-2011-42

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY