CONTROLLABILITY OF NONLINEAR THIRD ORDER DISPERSION EQUATION WITH DISTRIBUTED DELAY | Zendy

Meili Li | Zendy; Haiqing Wang | Zendy

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CONTROLLABILITY OF NONLINEAR THIRD ORDER DISPERSION EQUATION WITH DISTRIBUTED DELAY

Author(s) -

Meili Li,

Haiqing Wang

Publication year - 2012

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2012030

Subject(s) - controllability , mathematics , semigroup , nonlinear system , control theory (sociology) , mathematical analysis , dispersion (optics) , computer science , control (management) , physics , quantum mechanics , artificial intelligence , optics

This paper is concerned with the exact controllability of nonlinear third order dispersion equation with infinite distributed delay. Sufficient conditions are formulated and proved for the exact controllability of this system. Without imposing a compactness condition on the semigroup, we establish controllability results by using a fixed point analysis approach.

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