Boundedness of solutions of measure differential equations and dynamic equations on time scales

被引：19

作者：

Federson, M. ^{[1
]}

Grau, R. ^{[1
]}

Mesquita, J. G. ^{[2
]}

Toon, E. ^{[3
]}

机构：

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

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

[3] Univ Fed Juiz De Fora, Dept Matemat, BR-36036330 Juiz De Fora, MG, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 01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; Boundedness; Kurzweil-Henstock-Stieltjes integral; Lyapunov functionals; STABILITY;

D O I：

10.1016/j.jde.2017.02.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the boundedness results for measure differential equations. In order to obtain our results, we use the correspondence between these equations and generalized ODEs. Furthermore, we prove our results concerning boundedness of solutions for dynamic equations on time scales, using the fact that these equations represent a particular case of measure differential equations. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：26 / 56

页数：31

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