Approximate controllability of nonlinear impulsive differential systems

被引：40
|
作者：
Sakthivel, R. [1 ]
Mahmudov, N. I.
Kim, J. H.
机构：
[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea
[2] Eastern Mediterranean Univ, Dept Math, Gazimagusa, Turkey
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2007年 / 60卷 / 01期
关键词：
approximate controllability; impulsive differential equations; fixed point theorem;
D O I：
10.1016/S0034-4877(07)80100-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Many practical systems in physical and biological sciences have impulsive dynamical behaviours during the evolution process which can be modeled by impulsive differential equations. This paper studies the approximate controllability issue for nonlinear impulsive differential and neutral functional differential equations in Hilbert spaces. Based on the semigroup theory and fixed point approach, sufficient conditions for approximate controllability of impulsive differential and neutral functional differential equations are established. Finally, two examples are presented to illustrate the utility of the proposed result. The results improve some recent results.
引用
收藏
页码：85 / 96
页数：12
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