文章基本信息

标题：BVPs for higher-order integro-differential equations with ϕ -Laplacian and functional boundary conditions
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作者：Xiufeng Guo ; Liang Lu ; Zexian Liu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：285
DOI：10.1186/1687-1847-2014-285
语种：English
出版社：Hindawi Publishing Corporation
摘要：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.
关键词：ϕ -Laplacian like operator ; integro-differential equation ; functional boundary condition ; Nagumo condition ; lower and upper solutions