- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 6
- Existence results for nonlinear boundary value problems with $m$-point integral boundary condition
Existence results for nonlinear boundary value problems with $m$-point integral boundary condition
Authors : Tugba Senlik Cerdik, Nuket Aykut Hamal
Pages : 1521-1536
View : 11 | Download : 4
Publication Date : 2018-12-12
Article Type : Research
Abstract :In this paper, we investigate the existence of positive solutions for the nonlinear $m$-point boundary value problems with integral boundary condition. By using fixed-point index theorem and Leggett-Williams fixed point theorem, the existence and multiplicity of positive solutions are obtained. As an application, two examples are given to demonstrate our results.Keywords : Boundary value problems, fixed point theorems, integral boundary conditions