Controllability of semilinear systems with fixed delay in control

• Autorzy: Kumar S. , Sukavanam N.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2015.35.l.71

• Języki publikacji: EN

Abstrakty

EN

In this paper, different sufficient conditions for exact controllability of semilinear systems with a single constant point delay in control are established in infinite dimensional space. The existence and uniqueness of mild solution is also proved under suitable assump­tions. In particular, local Lipschitz continuity of a nonlinear function is used. To illustrate the developed theory some examples are given.

Słowa kluczowe

EN

first order delay system; mild solution; fixed point; exact controllability

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 1
• Strony: 71--83
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Kumar S.

• University of Delhi Department of Mathematics Delhi - 110007, India

autor

Sukavanam N.

• Indian Institute of Technology, Roorkee Department of Mathematics Roorkee (Uttarakhand) - 247667, India

Bibliografia

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