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

Articles > Article · 2017

Authors: Tugba Senlik Cerdik, Nüket AYKUT HAMAL

Hacettepe Journal of Mathematics and Statistics, International, WoS, 2017, vol 4

DOI: 10.15672/hjms.2017.450

Summary

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.

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