SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research

Existence of solutions and nonnegative solutions for a class of p ( t ) -Laplacian differential systems with multipoint and integral boundary value conditions

Guizhen Zhi1, Yunrui Guo2, Yan Wang1 and Qihu Zhang1*

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

For all author emails, please log on.

Boundary Value Problems 2013, 2013:106  doi:10.1186/1687-2770-2013-106

Published: 26 April 2013

Abstract

This paper explores the existence of solutions for a class of <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/106/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/106/mathml/M1">View MathML</a>-Laplacian differential systems with multipoint and integral boundary value conditions via Leray-Schauder’s degree. Moreover, the existence of nonnegative solutions is discussed.

MSC: 34B10.

Keywords:
<a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/106/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/106/mathml/M1">View MathML</a>-Laplacian; Leray-Schauder degree; fixed point