This paper concerns the existence of nontrivial solutions for the following singular m-point boundary value problem with a sign-changing nonlinear term is a sign-changing continuous function and may be unbounded from below. By applying the topological degree of a completely continuous field and the
Nontrivial solutions of singular nonlinear m-point boundary value problems
โ Scribed by Xiaoying Liu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 125 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, by using the method of topology degree, some existence theorems of nontrivial solutions for singular nonlinear m-point boundary value problems are established. Our nonlinearity may be singular in its dependent variable.
๐ SIMILAR VOLUMES
We study the existence of positive solutions to the boundary-value problem u + a t f u = 0 tโ 0 1 i=1 a i < 1, and m-2 i=1 b i < 1. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.
solution a b s t r a c t We investigate the existence of nontrivial solutions for a multi-point boundary value problem for fractional differential equations. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by u
In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suit