Existence of three solutions for Kirchhoff-type three-point boundary value problems

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Hacettepe Journal of Mathematics and Statistics
Volume:50 Issue:2
Existence of three solutions for Kirchhoff-type three-point boundary value problems

Existence of three solutions for Kirchhoff-type three-point boundary value problems

Authors : Shapour HEİDARKHANİ, Amjad SALARİ

Pages : 304-317

Doi:10.15672/hujms.912780

View : 60 | Download : 10

Publication Date : 2021-04-11

Article Type : Research Paper

Abstract :The present paper is an attempt to investigate the multiplicity results of solutions for a three-point boundary value problem of Kirchhoff-type. Indeed, we will use variational methods for smooth functionals, defined on the reflexive Banach spaces in order to achieve the existence of at least three solutions for the equation. Finally, by presenting one example, we will ensure the applicability of our results.
Keywords : three solutions, three point boundary value problem, second order Kirchhoff type equation, Lipschitz condition, variational methods, critical point theory

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