Periodic solutions and stability to nonlinear autonomous impulsive differential equations

被引:0
作者
Qi, Jiangang [1 ]
机构
[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China
关键词
impulsive differential equation; periodic solution; stability;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies the existence and stability of periodic solutions for nonlinear impulsive differential equations with impulse at variable moments. Sufficient and necessary conditions are obtained for the existence and stability of periodic solutions by using Ponecare mapping with impulse. Two examples are given to illustrate our main results.
引用
收藏
页码:99 / 110
页数:12
相关论文
共 7 条
[1]  
BAINOV DD, 1996, APPL ANAL, V63, P253
[2]   COMPARISON PRINCIPLES FOR IMPULSIVE PARABOLIC EQUATIONS WITH APPLICATIONS TO MODELS OF SINGLE SPECIES GROWTH [J].
ERBE, LH ;
FREEDMAN, HI ;
LIU, XZ ;
WU, JH .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1991, 32 :382-400
[3]   General comparison principle for impulsive variable time differential equations with application [J].
Fu, XL ;
Qi, JG ;
Liu, YS .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (08) :1421-1429
[4]   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
[5]   STABILITY-CRITERIA FOR IMPULSIVE DIFFERENTIAL-EQUATIONS IN TERMS OF 2 MEASURES [J].
LAKSHMIKANTHAM, V ;
LIU, XZ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 137 (02) :591-604
[6]  
Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6
[7]  
Samoilenko A. M., 1995, World Scientific Series on Nonlinear Science, P14, DOI [DOI 10.1142/2892, 10.1142/2892]