Title of article :
Approximate controllability of a delayed semilinear control system with growing nonlinear term
Original Research Article
Author/Authors :
N. Sukavanam، نويسنده , , Simegne Tafesse، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
This paper deals with the approximate controllability of a semilinear control system with delay, where the nonlinear term satisfies the linear growth condition. Sufficient conditions for the approximate controllability of a semilinear control system have been established by assuming that the corresponding linear control system with delay is approximately controllable. To prove our results, the Schauder fixed point theorem is applied and instead of a Co-semigroup associated with the mild solution of the system we use the so-called fundamental solution.
Keywords :
Schauder fixed point theorem , approximate controllability , Delay , Fundamental solution , Reachable set , Semilinear control system
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications