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Positive solutions of nonlinear singular boundary value problems in abstract spaces

✍ Scribed by Yujun Cui; Yumei Zou

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
230 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis

By constructing a particular closed convex set and applying the MΓΆnch fixed-point theorem, we study the existence of positive solutions of the singular boundary value problem

in Banach space, singularities occurring at t = 0, 1, and x = ΞΈ . Our method is completely distinct from what the former literature used, even if we discuss the above problem in scalar space.

πŸ“œ SIMILAR VOLUMES

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