Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations

被引：27

作者：

Afonso, S. M. ^{[1
]}

Bonotto, E. M. ^{[1
]}

Federson, M. ^{[1
]}

Gimenes, L. P. ^{[2
]}

机构：

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

[2] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 5-6期

关键词：

Functional differential equations; variable impulses; uniform boundedness; uniform ultimate boundedness; generalized ordinary differential equations; Lyapunov functionals; MSC (2010) 34K12; 34K45; 26A39;

D O I：

10.1002/mana.201000081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give sufficient conditions for the uniform boundedness and uniform ultimate boundedness of solutions of a class of retarded functional differential equations with impulse effects acting on variable times. We employ the theory of generalized ordinary differential equations to obtain our results. As an example, we investigate the boundedness of the solution of a circulating fuel nuclear reactor model.

引用

页码：545 / 561

页数：17

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