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Triple positive solutions of a class of fourth-order two-point boundary value problems

โœ Scribed by Yun-Rui Yang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
351 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, by using the Leggett-Williams fixed point theorem, we establish an existence criterion for triple positive solutions of the nonlinear fourth-order two-point boundary value problem

An example is also included to demonstrate the result we obtained.

๐Ÿ“œ SIMILAR VOLUMES

Positive solutions of fourth-order nonli
Positive solutions of fourth-order nonlinear singular boundary value problems
โœ Fuyi Xu; Hua Su; Xiaoyan Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 278 KB

We consider the existence of positive solutions for the following fourth-order singular Sturm-Liouville boundary value problem: where g, p may be singular at t = 0 and/or 1. Moreover F(t, x) may also have singularity at x = 0. The existence and multiplicity theorems of positive solutions for the fo