http://repository.iitr.ac.in/handle/123456789/9977| Title: | Approximate controllability of retarded semilinear stochastic system with non local conditions |
| Authors: | Shukla A. Arora U. Sukavanam, Nagarajan |
| Published in: | Journal of Applied Mathematics and Computing |
| Abstract: | This paper deals with the approximate controllability of retarded semilinear stochastic system with nonlocal conditions in Hilbert Spaces under the assumption that the corresponding linear system is approximately controllable. The control function for this system is suitably constructed by using the infinite dimensional controllability operator. With this control function, the sufficient conditions for the approximate controllability of the proposed problem in Hilbert Space are established. The results are obtained by using Banach fixed point theorem. Finally, two examples are provided to illustrate the application of the obtained results. © 2014, Korean Society for Computational and Applied Mathematics. |
| Citation: | Journal of Applied Mathematics and Computing (2015), 49(43832): 513-527 |
| URI: | https://doi.org/10.1007/s12190-014-0851-9 http://repository.iitr.ac.in/handle/123456789/9977 |
| Issue Date: | 2015 |
| Publisher: | Springer Verlag |
| Keywords: | Approximate controllability Nonlocal conditions Retarded stochastic semilinear systems |
| ISSN: | 15985865 |
| Author Scopus IDs: | 56136038100 9637637300 12804420600 |
| Author Affiliations: | Shukla, A., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India Arora, U., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India Sukavanam, N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India |
| Corresponding Author: | Shukla, A.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia |
| Appears in Collections: | Journal Publications [MA] |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.