Volterra-Stieltjes型泛函积分方程解的存在性及渐近行为

数学物理学报 ›› 2016, Vol. 36 ›› Issue (1): 130-143.

Volterra-Stieltjes型泛函积分方程解的存在性及渐近行为

夏治南

浙江工业大学理学院杭州 310023

收稿日期:2015-07-14 修回日期:2015-12-06 出版日期:2016-02-25 发布日期:2016-02-25
作者简介:夏治南,xiazn299@zjut.edu.cn
基金资助:
国家自然科学基金(11501507,11426201)和浙江省自然科学青年基金(LQ13A010015)资助

On Existence and Asymptotic Behavior of Solutions for Functional Integral Equation of Volterra-Stieltjes Type

Xia Zhinan

College of Science, Zhejiang University of Technology, Hangzhou 310023

Received:2015-07-14 Revised:2015-12-06 Online:2016-02-25 Published:2016-02-25
Supported by:
Supported by the NSFC (11501507, 11426201) and the Natural Science Foundation of Zhejiang Province (LQ13A010015)

摘要/Abstract

摘要：

利用非紧性测度理论和Schauder不动点定理,该文研究了无界区间上Volterra-Stieltjes型泛函积分方程解的存在性和渐近行为.作为应用,并给出了一些例子来验证主要结论.

关键词: 泛函积分方程, Volterra-Stieltjes型, 非紧性测度, Schauder不动点定理, 渐近行为

Abstract:

The aim of this paper is to present existence and asymptotic behavior of solutions for the quadratic functional integral equation of Volterra-Stieltjes type on unbounded interval. The concept of measure of noncompactness and the Schauder fixed point principle are the main tools in carrying out our proof. Furthermore, some examples are given to show the efficiency and usefulness of the main findings.

Key words: Functional integral equation, Volterra-Stieltjes, Measure of noncompactness, Schauder fixed point principle, Asymptotic behavior

中图分类号:

O175.5

夏治南. Volterra-Stieltjes型泛函积分方程解的存在性及渐近行为[J]. 数学物理学报, 2016, 36(1): 130-143.

Xia Zhinan. On Existence and Asymptotic Behavior of Solutions for Functional Integral Equation of Volterra-Stieltjes Type[J]. Acta mathematica scientia,Series A, 2016, 36(1): 130-143.

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