VOLTERRA INTEGRAL EQUATIONS ON VARIABLE EXPONENT LEBESGUE SPACES

被引：5

作者：

Castillo, R. E. ^{[1
]}

Ramos-Fernandez, J. C. ^{[2
]}

Rojas, E. M. ^{[1
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat, Bogota, Colombia

[2] Univ Oriente, Dept Matemat, Cumana 6101, Edo Sucre, Venezuela

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2016年 / 28卷 / 01期

关键词：

Volterra integral equation; variable Lebesgue space; contractive mapping;

D O I：

10.1216/JIE-2016-28-1-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, in the framework of Lebesgue spaces with variable exponent, we are going to provide conditions for the existence and uniqueness of the solutions of a class of Volterra integral equations induced by Caratheodory functions having diverse growth behaviors. To attain our goals, we will use topological degree theory for condensing maps and fixed point results for the sum of mappings of contractive type.

引用

页码：1 / 29

页数：29

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