Periodic solutions of impulsive differential equations

被引：0

作者：

Tarafdar, E ^{[1
]}

Watson, PJ ^{[1
]}

机构：

[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS | 1999年 / 6卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A comparison principle is proved for a system of impulsive differential equations. This is applied to establish the existence of periodic solutions to the impulsive differential equation.

引用

页码：301 / 306

页数：6

共 12 条

[1] Periodic boundary value problem for first order differential equations with impulses at variable times [J].

Bajo, I ;

Liz, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (01) :65-73

[2]

CRANDALL MG, 1972, P AM MATH SOC, V36, P151, DOI 10.2307/2039051

[3]

Deimling K., 1992, MULTIVALUED DIFFEREN, DOI DOI 10.1515/9783110874228

[4]

Deimling K, 1977, Lecture Notes in Mathematics, V596, DOI 10.1007/BFb0091636

[5]

GUO D, 1988, NONL PROBL ABSTR CON

[6] INVARIANT SETS AND ON A THEOREM OF WAZEWSKI [J].

HARTMAN, P .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 32 (02) :511-&

[7] EXISTENCE OF PERIODIC-SOLUTIONS OF NONLINEAR-SYSTEMS OF DIFFERENTIAL-EQUATIONS WITH IMPULSE EFFECT [J].

HRISTOVA, SG ;

BAINOV, DD .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 125 (01) :192-202

[8] EXTREMAL SOLUTIONS, COMPARISON PRINCIPLE AND STABILITY-CRITERIA FOR IMPULSIVE DIFFERENTIAL-EQUATIONS WITH VARIABLE TIMES [J].

KAUL, S ;

LAKSHMIKANTHAM, V ;

LEELA, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (10) :1263-1270

[9]

KAUL SK, 1995, NONLINEAR TIMES DIGE, V2, P107

[10] COMPARISON PRINCIPLE FOR IMPULSIVE DIFFERENTIAL-EQUATIONS WITH VARIABLE TIMES AND STABILITY THEORY [J].

LAKSHMIKANTHAM, V ;

LEELA, S ;

KAUL, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (04) :499-503

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