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Your search keyword '"Elshenhab, Ahmed M."' showing total 3 results
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3. Existence and Hyers–Ulam Stability of Stochastic Delay Systems Governed by the Rosenblatt Process.

Author

AlNemer, Ghada, Hosny, Mohamed, Udhayakumar, Ramalingam, and Elshenhab, Ahmed M.

Subjects
STOCHASTIC systems, FIXED point theory, STOCHASTIC differential equations, MATRIX functions, NONLINEAR systems, DELAY differential equations
Abstract

Under the effect of the Rosenblatt process, time-delay systems of nonlinear stochastic delay differential equations are considered. Utilizing the delayed matrix functions and exact solutions for these systems, the existence and Hyers–Ulam stability results are derived. First, depending on the fixed point theory, the existence and uniqueness of solutions are proven. Next, sufficient criteria for the Hyers–Ulam stability are established. Ultimately, to illustrate the importance of the results, an example is provided. [ABSTRACT FROM AUTHOR]

Published
2024
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