BVPs for higher-order integro-differential equations with ϕ-Laplacian and functional boundary conditions-Reference-Cited by-同舟云学术

BVPs for higher-order integro-differential equations with ϕ-Laplacian and functional boundary conditions

Published:2014-11-04 Issue:1 Volume:2014 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Guo Xiufeng,Lu Liang,Liu Zexian

Abstract

Abstract In this paper, we study the existence of solutions of a class of higher-order integro-differential boundary value problems with ϕ-Laplacian like operator and functional boundary conditions. By giving the definition of a pair of coupled lower and upper solutions and some new hypotheses, we obtain some new existence results for boundary value problems with ϕ-Laplacian like operator by employing the Schauder fixed point theorem and an appropriate Nagumo condition. Finally, an example is given to illustrate the results. MSC:39K10, 34B15.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-1847-2014-285.pdf

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