文章基本信息

标题：Construction of measures of noncompactness of DC n [ J , E ] $\mathit{DC}^{n}[J,E]$ and C 0 n [ J , E ] $C^{n}_{0}[J,E]$ with application to the solvability of n th-order integro-differential equations in Banach spaces
本地全文：下载
作者：Reza Allahyari ; Reza Arab ; Ali Shole Haghighi 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：2015
卷号：2015
期号：1
页码：376
DOI：10.1186/s13662-015-0718-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：In the present paper, we first investigate the construction of compact sets of DC n [ J , E ] $\mathit{DC}^{n}[J,E]$ and C 0 n [ J , E ] $C^{n}_([J,E]$ , and then we introduce new measures of noncompactness on these spaces. In addition, as an application, we discuss the existence of solutions of initial value problems for nth-order nonlinear integro-differential equations of mixed type on an infinite interval in Banach spaces. We will also state an interesting example which shows that our results can apply for solving infinite systems of integro-differential equations.
关键词：measure of noncompactness ; Darbo fixed point theorem ; Arzelà-Ascoli theorem ; n th-order integro-differential equations