Geodesic
Approximate controllability of neutral stochastic integrodifferential systems in Hilbert spaces
Electronic journal of differential equations, Tome 2008 (2008)
In this paper sufficient conditions are established for the controllability of a class of neutral stochastic integrodifferential equations with nonlocal conditions in abstract space. The Nussbaum fixed point theorem is used to obtain the controllability results, which extends the linear system to the stochastic settings with the help of compact semigroup. An example is provided to illustrate the theory.
Classification : 93B05
Keywords: compact semigroup, approximate controllability, neutral stochastic integrodifferential system, nussbaum fixed point theorem 
@article{EJDE_2008__2008__a82,
     author = {Subalakshmi,  Ravikumar and Balachandran,  Krishnan},
     title = {Approximate controllability of neutral stochastic integrodifferential systems in {Hilbert} spaces},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1161.93009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a82/}
}
TY  - JOUR
AU  - Subalakshmi,  Ravikumar
AU  - Balachandran,  Krishnan
TI  - Approximate controllability of neutral stochastic integrodifferential systems in Hilbert spaces
JO  - Electronic journal of differential equations
PY  - 2008
VL  - 2008
UR  - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a82/
LA  - en
ID  - EJDE_2008__2008__a82
ER  - 
%0 Journal Article
%A Subalakshmi,  Ravikumar
%A Balachandran,  Krishnan
%T Approximate controllability of neutral stochastic integrodifferential systems in Hilbert spaces
%J Electronic journal of differential equations
%D 2008
%V 2008
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a82/
%G en
%F EJDE_2008__2008__a82
Subalakshmi,  Ravikumar; Balachandran,  Krishnan. Approximate controllability of neutral stochastic integrodifferential systems in Hilbert spaces. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a82/