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, and other files 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