Article
Controllability for neutral stochastic functional integrodifferential equations with infinite delay
Authors
, and
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.
Keywords
C0-semigroup, Controllability, Hilbert space, Neutral stochastic functional integrodifferential equations, Nussbaum fixed point theorem, 93E03, 93C40
Citation
Caraballo, T., Diop, M. A., & Mane, A. (2016). Controllability for neutral stochastic functional integrodifferential equations with infinite delay. Applied Mathematics and Nonlinear Sciences, 1(2), 493–506. https://doi.org/10.21042/AMNS.2016.2.00039
T. Caraballo, M. A. Diop and A. Mane, “Controllability for neutral stochastic functional integrodifferential equations with infinite delay,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, pp. 493–506, 2016, doi: 10.21042/AMNS.2016.2.00039.
Caraballo T, Diop MA, Mane A. Controllability for neutral stochastic functional integrodifferential equations with infinite delay. Applied Mathematics and Nonlinear Sciences. 2016;1(2):493–506. doi:10.21042/AMNS.2016.2.00039.
Caraballo, T., Diop, M. A. and Mane, A. (2016), ‘Controllability for neutral stochastic functional integrodifferential equations with infinite delay’, Applied Mathematics and Nonlinear Sciences, 1(2), pp. 493–506. Available at: https://doi.org/10.21042/AMNS.2016.2.00039.
Caraballo, Tomás, et al. “Controllability for Neutral Stochastic Functional Integrodifferential Equations with Infinite Delay.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, 2016, pp. 493–506. https://doi.org/10.21042/AMNS.2016.2.00039.
Caraballo, Tomás, Mamadou Abdoul Diop, and Aziz Mane. “Controllability for Neutral Stochastic Functional Integrodifferential Equations with Infinite Delay.” Applied Mathematics and Nonlinear Sciences 1, no. 2 (2016): 493–506. https://doi.org/10.21042/AMNS.2016.2.00039.
Export citation
Published by: Engineering Journals
