无穷区间上积分-微分方程组边值问题正解的存在性和唯一性

doi:10.3976/j.issn.1002-4026.2020.01.017

山东科学 ›› 2020, Vol. 33 ›› Issue (1): 124-130.doi: 10.3976/j.issn.1002-4026.2020.01.017

• 其他研究论文 • 上一篇

无穷区间上积分-微分方程组边值问题正解的存在性和唯一性

唐秋云^1a,王明高^1b,2

1. 齐鲁医药学院，a.公共教学部数学教研室;b.图书馆,山东淄博 255300；2.山东理工大学数学与统计学院，山东淄博 255049

收稿日期:2019-05-17 出版日期:2020-02-20 发布日期:2020-02-13
作者简介:唐秋云（1976—），女，副教授，研究方向为常微分方程。E-mail: 395054828@qq.com
基金资助:
山东省教育厅资助项目（M2018X098）

Existence and uniqueness of positive solutions for boundary value problems integro-differential equations on infinite interval

TANG Qiu-yun^1a ,WANG Ming-gao^1b,2

1. a. Mathematics Teaching and Research Section, Department of Public Education, b. The Library;Qilu Medical University, Zibo 255300,China; 2.School of Mathematics and Statistics，Shandong University of Technology，Zibo 255049，China

Received:2019-05-17 Online:2020-02-20 Published:2020-02-13

摘要/Abstract

摘要： 应用Banach不动点理论，在无穷区间上讨论了边值条件为非负常数时积分微分方程组正解的存在性和唯一性,并探讨了正解对边值的依赖性。

关键词: 无穷区间, 积分-微分方程组, 正解, 边值问题

Abstract: Using fixed point theorem of Banach, this paper discussed the existence and uniqueness of positive solutions for integro-differential equations on the infinite interval wherein the boundary conditions are non-negative constant. Furthermore, the dependence of positive solutions on boundary values was discussed as well.

Key words: infinite interval, integro-differential equations, positive solution, boundary value problem

中图分类号:

O175.8

唐秋云, 王明高. 无穷区间上积分-微分方程组边值问题正解的存在性和唯一性[J]. 山东科学, 2020, 33(1): 124-130.

TANG Qiu-yun , WANG Ming-gao. Existence and uniqueness of positive solutions for boundary value problems integro-differential equations on infinite interval[J]. Shandong Science, 2020, 33(1): 124-130.

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无穷区间上积分-微分方程组边值问题正解的存在性和唯一性

Existence and uniqueness of positive solutions for boundary value problems integro-differential equations on infinite interval

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