𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem

✍ Scribed by Ruyun Ma; Jia Xu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
594 KB
Volume
72
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Existence of positive solutions of a non
Existence of positive solutions of a nonlinear fourth-order boundary value problem
✍ Ruyun Ma; Ling Xu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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.

Positive solutions of fourth-order nonli
Positive solutions of fourth-order nonlinear singular boundary value problems
✍ Fuyi Xu; Hua Su; Xiaoyan Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 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

Existence, multiplicity and infinite sol
Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem
✍ Qingliu Yao πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 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