Electron. J. Diff. Eqns., Vol. 2009(2009), No. 66, pp. 1-10.

Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities

Shouliang Xi, Mei Jia, Huipeng Ji

Abstract:
In this paper, we study the existence of multiple nonnegative solutions for second-order boundary-value problems of differential equations with sign-changing nonlinearities. Our main tools are the fixed-point theorem in double cones and the Leggett-Williams fixed point theorem. We present also the integral kernel associated with the boundary-value problem.

Submitted December 8, 2008. Published May 14, 2009.
Math Subject Classifications: 34B10, 34B18.
Key Words: Nonnegative solutions; fixed-point theorem in double cones; integral kernel; integral boundary conditions.

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Shouliang Xi
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: xishouliang@163.com
Mei Jia
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: jiamei-usst@163.com
Huipeng Ji
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: jihuipeng1983@163.com

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