On the qualitative behaviors of stochastic delay integro-differential equations of second order-Reference-Cited by-同舟云学术

On the qualitative behaviors of stochastic delay integro-differential equations of second order

Published:2024-03-19 Issue:1 Volume:2024 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Mahmoud Ayman M.^ORCID,Tunç Cemil^ORCID

Abstract

AbstractIn this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE).To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1186/s13660-024-03085-6.pdf

Reference48 articles.

1. Abou-El-Ela, A.M.A., Sadek, A.I., Mahmoud, A.M.: On the stability of solutions for certain second order stochastic delay differential equations. Differ. Uravn. Protsessy Upr. 2, 1–13 (2015)

2. Abou-El-Ela, A.M.A., Sadek, A.I., Mahmoud, A.M., Farghaly, E.S.: Asymptotic stability of solutions for a certain non-autonomous second order stochastic delay differential equation. Turk. J. Math. 41(3), 576–584 (2017)

3. Abou-El-Ela, A.M.A., Sadek, A.I., Mahmoud, A.M., Taie, R.O.A.: On the stochastic stability and boundedness of solutions for stochastic delay differential equation of the second order. Chin. J. Math. 2015, Art. ID 358936 (2015)

4. Ademola, A.T., Akindeinde, S.O., Ogundare, B.S., Ogundiran, M.O., Adesina, O.A.: On the stability and boundedness of solutions to certain second order nonlinear stochastic delay differential equations. J. Niger. Math. Soc. 38(2), 185–209 (2019)

5. Ademola, A.T., Moyo, S., Ogundare, B.S., Ogundiran, M.O., Adesina, O.A.: Stability and boundedness of solutions to a certain second order non-autonomous stochastic differential equation. Int. J. Anal. 2016, Art. ID 2012315 (2016)