MULTIPLE POSITIVE SOLUTIONS FOR INTEGRO-DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS AND SIGN CHANGING NONLINEARITIES

作者：Jia, Mei^*; Wang, Pingyou

来源：Electronic Journal of Differential Equations, 2012, 31.

• Boundary value problems
• p-Laplacian operator
• integral boundary conditions
• fixed point theorem
• multiple positive solutions

In this article, we show the existence of multiple positive solutions for integro-differential equations with one-dimensional p-Laplacian operator, sign changing nonlinearities, and integral boundary conditions. By using the Schauder fixed point theorem and the Krasnosel'skii fixed point theorem, we obtain sufficient conditions for the existence of at least two positive solutions.

• 出版日期2012-2-23
• 单位上海理工大学