Article
Stability results for neutral stochastic functional differential equations via fixed point methods
Author/s | Benhadri, Mimia
Caraballo Garrido, Tomás Zeghdoudi, Halim |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2020 |
Deposit Date | 2020-09-08 |
Published in |
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Abstract | In this paper we prove some results on the mean square asymptotic stability of a class of neutral stochastic differential systems with variable delays by using a contraction mapping principle. Namely, a necessary and ... In this paper we prove some results on the mean square asymptotic stability of a class of neutral stochastic differential systems with variable delays by using a contraction mapping principle. Namely, a necessary and sufficient condition ensuring the asymptotic stability is proved. The assumption does not require neither boundedness or differentiability of the delay functions, nor do they ask for a fixed sign on the coefficient functions. In particular, the results improve some previous ones proved by Guo, Y., Xu, C., & Wu, J. [(2017). Stability analysis of neutral stochastic delay differential equations by a generalisation of Banach’s contraction principle. International Journal of Control, 90, 1555–1560]. Finally, an example is exhibited to illustrate the effectiveness of the proposed results. |
Funding agencies | Ministerio de Economia, Industria y Competitividad (MINECO). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Junta de Andalucía. Consejería de Economía, Innovación, Ciencia y Empleo |
Project ID. | MTM2015-63723-P
P12-FQM-1492 |
Citation | Benhadri, M., Caraballo Garrido, T. y Zeghdoudi, H. (2020). Stability results for neutral stochastic functional differential equations via fixed point methods. International Journal of Control, 93 (7), 1726-1734. |
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