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

Authors : Tugba SENLİK CERDİK, Nuket AYKUT HAMAL

Pages : 1521-1536

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Publication Date : 2018-12-12

Article Type : Research Paper

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