Bishop, S.A. and Ogundile, O. P. and Ogundiran, M. O. (2018) ON STABILITY OF QUANTUM STOCHASTIC DIFFERENTIAL EQUATION. International Journal of Mechanical Engineering and Technology (IJMET), 9 (9). pp. 367-374. ISSN 0976-6359
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Abstract
The long run behaviour of solutions of Lipschitzian quantum stochastic differential equation (QSDE) with non-instantaneous impulse is studied. This is achieved by imposing some conditions on the coefficients associated with the map P. Using the fixed point approach, we show that a solution exists under the given conditions and subsequently establish Ulam's type stability. We present some examples to further justify its application.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Ulams-Hyers stability, QSDE, Non-instantaneous impulse functions, Fixed point method. |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Mrs Hannah Akinwumi |
| Date Deposited: | 20 Sep 2018 09:25 |
| Last Modified: | 20 Sep 2018 09:25 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/11837 |
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