Electron. J. Diff. Equ., Vol. 2010(2010), No. 163, pp. 1-12.

Existence of positive solutions for boundary-value problems with integral boundary conditions and sign changing nonlinearities

Shu Liu, Mei Jia, Yingqiang Tian

Abstract:
In this article, we show the existence of positive solutions for boundary value problems with integral boundary conditions and sign changing nonlinearities. By using a fixed point theorem in double cones, we obtain sufficient conditions for the existence of two positive solutions.

Submitted June 15, 2010. Published November 12, 2010.
Math Subject Classifications: 34B15, 34B18.
Key Words: Boundary value problems; p-Laplacian; integral boundary conditions; fixed point theorem in double cones; positive solutions.

Show me the PDF file (226 KB), TEX file for this article.

Shu Liu
College of Science, Shanghai University for Science and Technology
Shanghai 200093, China
email: liu2008shu@126.com
Mei Jia
College of Science, Shanghai University for Science and Technology
Shanghai 200093, China
email: jiamei-usst@163.com
Yingqiang Tian
College of Science, Shanghai University for Science and Technology
Shanghai 200093, China
email: tian0013@163.com

Return to the EJDE web page