Exact Controllability of an Impulsive Semilinear System with Deviated Argument in a Banach Space | Zendy

Sanjukta Das | Zendy; Dwijendra N. Pandey | Zendy; N. Sukavanam | Zendy

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Exact Controllability of an Impulsive Semilinear System with Deviated Argument in a Banach Space

Author(s) -

Sanjukta Das,

Dwijendra N. Pandey,

N. Sukavanam

Publication year - 2014

Publication title -

journal of difference equations

Language(s) - English

Resource type - Journals

eISSN - 2356-7848

pISSN - 2356-7856

DOI - 10.1155/2014/461086

Subject(s) - banach space , uniqueness , controllability , semigroup , compact space , mathematics , contraction (grammar) , mathematical analysis , pure mathematics , computer science , philosophy , linguistics

A functional differential equation with deviated argument coupled with impulsive conditions is studied for the existence and uniqueness of the mild solution and exact controllability of the system. The results are obtained by using Banach contraction principle and C0 semigroup theory without imposing additional assumptions such as analyticity and compactness conditions on the generated semigroup and the nonlinear term. An example is provided to illustrate the presented theory

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