Approximate controllability of nonlinear impulsive differential systems

R. Sakthivel, N. I. Mahmudov, Jeong-Hoon Kim

Research output: Contribution to journalArticle

30 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 languageEnglish
Pages (from-to)85-96
Number of pages12
JournalReports on Mathematical Physics
Volume60
Issue number1
DOIs
Publication statusPublished - 2007 Aug 1

Fingerprint

Impulsive Differential Systems
Approximate Controllability
controllability
Neutral Functional Differential Equation
differential equations
physical sciences
Semigroup Theory
Impulsive Differential Equations
Hilbert space
Fixed point
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Approximate controllability of nonlinear impulsive differential systems. / Sakthivel, R.; Mahmudov, N. I.; Kim, Jeong-Hoon.

In: Reports on Mathematical Physics, Vol. 60, No. 1, 01.08.2007, p. 85-96.

Research output: Contribution to journalArticle

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