On a measure of noncompactness in the Holder space Ck,γ(Ω) and its application

被引：13
|
作者：
Saiedinezhad, S. [1 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 346卷
关键词：
Holder space; Measure of noncompactness; Fixed point of Darbo type; Quadratic integral equation; QUADRATIC INTEGRAL-EQUATION; SOLVABILITY; EXISTENCE; THEOREM;
D O I：
10.1016/j.cam.2018.07.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, based on the concept of relative compactness in the Holder space C-k,C-gamma(Omega) where k >= 0, gamma is an element of (0, 1] and Omega is a compact subset of R-N, we present a new measure of noncompactness on C-k,C-gamma(Omega). Moreover, as an application we study the existence of solution of a nonlinear integral equation in the Holder space by applying Darbo fixed point theorem. (C) 2018 Elsevier B.V. All rights reserved.
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页码：566 / 571
页数：6
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