<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this work, we study the controllability for a class of nonlinear neutral stochastic functional integrodifferential equations with infinite delay in a real separable Hilbert space. Sufficient conditions for the controllability are established by using Nussbaum fixed point theorem combined with theories of resolvent operators. As an application, an example is provided to illustrate the obtained result.</p></abstract>

In this work, we study the controllability for a class of nonlinear neutral stochastic functional integrodifferential equations with infinite delay in a real separable Hilbert space. Sufficient conditions for the controllability are established by using Nussbaum fixed point theorem combined with theories of resolvent operators. As an application, an example is provided to illustrate the obtained result.

Controllability for neutral stochastic functional integrodifferential equations with infinite delay

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this work, we study the controllability for a class of nonlinear neutral stochastic functional integrodifferential equations with infinite delay in a real...

Controllability for neutral stochastic functional integrodifferential equations with infinite delay

Published Online: Oct 24, 2016

Page range: 493 - 506

Received: Feb 06, 2016

Accepted: Oct 20, 2016

DOI: https://doi.org/10.21042/AMNS.2016.2.00039

Keywords
-semigroup, Controllability, Hilbert space, Neutral stochastic functional integrodifferential equations, Nussbaum fixed point theorem

© 2016 Tomás Caraballo, Mamadou Abdoul Diop, Aziz Mane, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Controllability for neutral stochastic functional integrodifferential equations with infinite delay

Published Online: Oct 24, 2016

Page range: 493 - 506

Received: Feb 06, 2016

Accepted: Oct 20, 2016

DOI: https://doi.org/10.21042/AMNS.2016.2.00039

Keywords-semigroup, Controllability, Hilbert space, Neutral stochastic functional integrodifferential equations, Nussbaum fixed point theorem

© 2016 Tomás Caraballo, Mamadou Abdoul Diop, Aziz Mane, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
-semigroup, Controllability, Hilbert space, Neutral stochastic functional integrodifferential equations, Nussbaum fixed point theorem