Construction of a Measure of Noncompactness on BC(Ω) and its Application to Volterra Integral Equations

被引：0

作者：

Arab, Reza ^{[1
]}

Allahyari, Reza ^{[2
]}

Haghighi, Ali Shole ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sari Branch, Sari, Iran

[2] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 03期

关键词：

Measure of noncompactness; Volterra integral equations; fixed point; compact operators; INFINITE SYSTEMS; ASYMPTOTIC STABILITY; 2; VARIABLES; EXISTENCE; SOLVABILITY; THEOREM; SPACES; ATTRACTIVITY;

D O I：

10.1007/s00009-015-0547-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we investigate the construction of compact sets of bounded continuous functions on unbounded set of , and then introduce a measure of noncompactness on this space. As an application, we study the existence of solutions for a class of nonlinear functional integral equations of Volterra type by using some fixed point theorems associated with this new measure of noncompactness. Obtained results generalize numerous other ones. We will also include some examples which show that our results are applicable where the previous ones are not.

引用

页码：1197 / 1210

页数：14

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