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.

引用

页码：4799 / 4808

页数：10

共 50 条

[41] Periodic boundary value problem for first order impulsive differential equations with supremum
He, ZM
Wang, PG
Ge, WG
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (01): : 133 - 144
[42] Periodic boundary value problem for the first order functional differential equations with impulses
LIANG Ruixi SHEN Jianhua Dept of Math Hunan Normal Univ Hunan China Dept of Math Huaihua College Hunan China
Applied Mathematics:A Journal of Chinese Universities(Series B), 2009, 24 (01) : 27 - 35
[43] Nonlinear boundary value problem of first order impulsive functional differential equations
Chen, LJ
Sun, JT
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (02) : 726 - 741
[44] On a Nonlocal Boundary Value Problem for First Order Nonlinear Functional Differential Equations
Oplustil, Zdenek
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 359 - 371
[45] Periodic boundary value problem for the first order functional differential equations with impulses
Rui-xi Liang
Jian-hua Shen
Applied Mathematics-A Journal of Chinese Universities, 2009, 24 : 27 - 35
[46] Periodic boundary value problem for first order impulsive delay differential equations
He, ZM
Ge, WG
APPLIED MATHEMATICS AND COMPUTATION, 1999, 104 (01) : 51 - 63
[47] Boundary value problem for first order impulsive integral-differential equations
Bai, Ding-Yong
Ma, Ru-Yun
Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni, 2003, 42 (01):
[48] A boundary value problem for a system of ordinary linear differential equations of the first order
Bliss, Gilert Ames
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1926, 28 (1-4) : 561 - 584
[49] Solving processes for a system of first-order fuzzy differential equations
Zhang, Y
Qiao, Z
Wang, GY
FUZZY SETS AND SYSTEMS, 1998, 95 (03) : 333 - 347
[50] Solving a Sequence of Recurrence Relations for First-Order Differential Equations
Batukhtin, Andrey
Batukhtina, Irina
Bass, Maxim
Batukhtin, Sergey
Safronov, Pavel
Baranovskaya, Marina
EURASIA JOURNAL OF MATHEMATICS SCIENCE AND TECHNOLOGY EDUCATION, 2017, 13 (11) : 7179 - 7191

← 1 2 3 4 5 →