SOLVING THE BOUNDARY VALUE PROBLEM OF THE FIRST-ORDER MEASURE DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Cai, Junning [1 ]
Xia, Yonghui [2 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
[2] Foshan Univ, Sch Math, Foshan 528000, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Existence; boundary value problems; equiregulated; measure differential equation; EIGENVALUES; DEPENDENCE; EXISTENCE;
D O I：
10.1090/proc/16959
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. This article is to develop a method to solve the boundary value problems of the first-order measure differential equations in the space of bounded variation functions. Firstly, we obtain the solution and Green's function by applying the integration by parts. Secondly, the criterion for the existence of solution is given by using fixed point theorem and regularization theory. Finally, an example is provided to validate these conclusions.
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页码：4799 / 4808
页数：10
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