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Multiple positive solutions for second-order four-point boundary value problem

✍ Scribed by Huihui Pang; Hairong Lian; Weigao Ge

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
232 KB
Volume
54
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we consider the following boundary value problem with a p-Laplacian

By using a generalization of the Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above problem. The emphasis is laid on how to deal with the new boundary condition to obtain the existence of positive solutions.

πŸ“œ SIMILAR VOLUMES

Multiple positive solutions of multi-poi
Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations
✍ Feng Meiqiang; Xie Dongxiu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 562 KB

This paper is devoted to study the existence of multiple positive solutions for the second-order multi-point boundary value problem with impulse effects. The arguments are based upon fixed-point theorems in a cone. An example is worked out to demonstrate the main results.