EXPONENTIAL STABILITY OF LINEAR DELAY IMPULSIVE DIFFERENTIAL-EQUATIONS

被引:179
作者
ANOKHIN, A
BEREZANSKY, L
BRAVERMAN, E
机构
[1] BEN GURION UNIV NEGEV,DEPT MATH & COMP SCI,IL-84105 BEER SHEVA,ISRAEL
[2] TECHNION ISRAEL INST TECHNOL,DEPT MATH,IL-32000 HAIFA,ISRAEL
关键词
D O I
10.1006/jmaa.1995.1275
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0, infinity), together with its derivative for each bounded right-hand side then the equation is exponentially stable. An explicit stability theorem is presented. (C) 1995 Academic Press, Inc.
引用
收藏
页码:923 / 941
页数:19
相关论文
共 25 条
[1]
Anokhin A., 1986, SOV MATH DOKLADY, V33, P220
[2]
ANOKHIN A, IN PRESS DYNAMICAL S
[3]
ANOKHIN AV, 1990, DIFFERENTSIALNY URAV, V26, P1864
[4]
[Anonymous], 1989, FF ERENTIAL EQUATION
[5]
[Anonymous], 1974, STABILITY SOLUTIONS
[6]
AZBELEV NV, 1991, DIFF EQUAT+, V27, P1165
[7]
AZBELEV NV, 1993, DIFF EQUAT+, V29, P153
[8]
AZBELEV NV, 1987, DIFF EQUAT+, V23, P493
[9]
AZBELEV NV, 1991, DIFF EQUAT+, V27, P383
[10]
BEREZANSKII LM, 1990, DIFF EQUAT+, V26, P657