Lyapunov stability for measure differential equations and dynamic equations on time scales

被引：27

作者：

Federson, M. ^{[1
]}

Grau, R. ^{[2
]}

Mesquita, J. G. ^{[3
]}

Toon, E. ^{[4
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos,Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil

[2] Univ Norte, Dept Matemat & Estadist, Barranquilla, Colombia

[3] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF, Brazil

[4] Univ Fed Juiz de Fora, Inst Ciencias Exatas, Juiz De Fora, MG, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 07期

基金：

巴西圣保罗研究基金会;

关键词：

Measure differential equations; Generalized ordinary differential equations; Dynamic equations on time scales; Stability; Kurzweil-Henstock-Stieltjes integral; Lyapunov functionals;

D O I：

10.1016/j.jde.2019.04.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the stability results for measure differential equations, considering more general conditions under the Lyapunov functionals and concerning the functions f and g. Moreover, we prove these stability results for the dynamic equations on time scales, using the correspondence between the solutions of these last equations and the solutions of the measure differential equations. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：4192 / 4223

页数：32

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