TY  - JOUR
ID  - Kumar2015
LB  - Kumar2015
AU  - Kumar, Surendra
AU  - Sukavanam, N.
TI  - Controllability of semilinear systems with fixed delay in control
ST  - Controllability of semilinear systems with fixed delay in control
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 1
SP  - 71
EP  - 83
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.1.71
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.1.71
AB  - 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.
KW  - first order delay system
KW  - mild solution
KW  - fixed point
KW  - exact controllability
SN  - 1232-9274
ER  -