文章基本信息

标题：Convergence of solutions for functional integro-differential equations with nonlinear boundary conditions
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作者：Peiguang Wang ; Yameng Wang ; Cuimei Jiang 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：2019
卷号：2019
期号：1
页码：1-16
DOI：10.1186/s13662-019-2456-y
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with the convergence of solutions for a class of functional integro-differential equations with nonlinear boundary conditions. New comparison principles are obtained. By using the comparison principles and quasilinearization method, we present two monotone iterative sequences uniformly and monotonically converging to the unique solution with rate of order 2. Meanwhile, an example is given to demonstrate applications of the result reported.
关键词：Functional integro-differential equations ; Monotone iterative ; Quasilinearization ; Nonlinear boundary conditions ; Coupled lower and upper solutions ;