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Positive solutions of fourth-order nonlinear singular boundary value problems

โœ Scribed by Fuyi Xu; Hua Su; Xiaoyan Zhang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
278 KB
Volume
68
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

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 fourth-order singular Sturm-Liouville boundary value problem are obtained by using the first eigenvalue of the corresponding linear problems. Our results significantly extend and improve many known results including singular and nonsingular cases.

๐Ÿ“œ SIMILAR VOLUMES

Existence of positive solutions of a non
Existence of positive solutions of a nonlinear fourth-order boundary value problem
โœ Ruyun Ma; Ling Xu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 275 KB

In this paper, we study the existence of positive solutions of fourth-order boundary value problem of our main result is based upon the Krein-Rutman theorem and the global bifurcation techniques.