Approximate controllability of nonlinear impulsive differential systems

R. Sakthivel; N. I. Mahmudov; J. H. Kim

doi:10.1016/S0034-4877(07)80100-5

Approximate controllability of nonlinear impulsive differential systems

R. Sakthivel, N. I. Mahmudov, J. H. Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Abstract

Many practical systems in physical and biological sciences have impulsive dynamical be- haviours 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.

Original language	English
Pages (from-to)	85-96
Number of pages	12
Journal	Reports on Mathematical Physics
Volume	60
Issue number	1
DOIs	https://doi.org/10.1016/S0034-4877(07)80100-5
Publication status	Published - 2007 Aug

Bibliographical note

Funding Information:
Acknowledgements The work of RS and JHK was supported by Brain Korea 21 project at Yousei University, 2006.

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1016/S0034-4877(07)80100-5

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AB - Many practical systems in physical and biological sciences have impulsive dynamical be- haviours 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.

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Approximate controllability of nonlinear impulsive differential systems

Abstract

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