Existence results for nonlinear boundary value problems with $m$-point integral boundary condition

Year 2018, Volume: 47 Issue: 6, 1521 - 1536, 12.12.2018

Tugba Senlik Cerdik Nuket Aykut Hamal

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

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