Turkish Journal of Mathematics
Abstract
In this paper, sufficient criteria that guarantee the existence of stochastic asymptotic stability of the zero solution of the nonautonomous second-order stochastic delay differential equation \eqref{3e1} were established with the aid of a suitable Lyapunov functional. Two examples are given in the last section to illustrate our main result.
DOI
10.3906/mat-1508-62
Keywords
Asymptotic stability, nonautonomous second-order stochastic delay differential equation, Lyapunov functional
First Page
576
Last Page
584
Recommended Citation
ABOU-EL-ELA, A. M, SADEK, A, MAHMOUD, A. M, & FARGHALY, E. S (2017). Asymptotic stability of solutions for a certain non-autonomous second-order stochastic delay differential equation. Turkish Journal of Mathematics 41 (3): 576-584. https://doi.org/10.3906/mat-1508-62
