๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence of positive solutions of a nonlinear fourth-order boundary value problem

โœ Scribed by Ruyun Ma; Ling Xu

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

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Existence, multiplicity and infinite sol
Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem
โœ Qingliu Yao ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 179 KB

The existence of n and infinitely many positive solutions is proved for the nonlinear fourth-order periodic boundary value problem where n is an arbitrary natural number and > -2 2 , 0 < < ( 1 2 + 2 2 ) 2 , / 4 + / 2 + 1 > 0. This kind of fourth-order boundary value problems usually describes the e

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