Existence of positive periodic solutions to nonlinear integro-differential equations

被引：9

作者：

Dorociakova, Bozena ^{[1
]}

Olach, Rudolf ^{[1
]}

机构：

[1] Univ Zilina, Dept Math, Zilina 01026, Slovakia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 253卷

关键词：

Positive periodic solution; Existence; Nonlinear; Integro-differential equation; Exponential stability; Banach space;

D O I：

10.1016/j.amc.2014.09.086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of positive periodic solutions for a class of nonlinear integro-differential equations. Such equations arise in the theory of a circulating fuel nuclear reactor. The existence of positive solutions and exponential stability is also treated. The main results are illustrated with several examples. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：287 / 293

页数：7

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