PERIODIC SOLUTIONS OF DIFFERENTIAL-ALGEBRAIC EQUATIONS

被引：0
|
作者：
Bi, Yingjie [1 ]
Liu, Siyu [2 ]
Li, Yong [1 ,3 ,4 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
[2] Jilin Univ, Sch Publ Hlth, Changchun 130021, Jilin, Peoples R China
[3] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[4] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 04期
关键词：
Differential-algebraic equation; periodic solution; topological degree; guiding function; INDEX REDUCTION; REGULARIZATION METHODS;
D O I：
10.3934/dcdsb.2019232
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of periodic solutions for a class of differential-algebraic equation h'(t, x) = f(t, x), ' = d/dt, where h(t,x) = A(t)x(t), h(t,x) and f(t,x) are T-periodic in first variable. Via the topological degree theory, and the method of guiding functions, some existence theorems are presented. To our knowledge, this is the first approach to periodic solutions of differential-algebraic equations. Some examples and numerical simulations are given to illustrate our results.
引用
收藏
页码：1383 / 1395
页数：13
相关论文
共 50 条
12345