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- W2562643544 abstract "This paper focuses on stability and boundedness of certain nonlinear nonautonomous second-order stochastic differential equations. Lyapunov’s second method is employed by constructing a suitable complete Lyapunov function and is used to obtain criteria, on the nonlinear functions, that guarantee stability and boundedness of solutions. Our results are new; in fact, according to our observations from the relevant literature, this is the first attempt on stability and boundedness of solutions of second-order nonlinear nonautonomous stochastic differential equations. Finally, examples together with their numerical simulations are given to authenticate and affirm the correctness of the obtained results." @default.
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- W2562643544 date "2016-12-25" @default.
- W2562643544 modified "2023-09-26" @default.
- W2562643544 title "Stability and Boundedness of Solutions to a Certain Second-Order Nonautonomous Stochastic Differential Equation" @default.
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- W2562643544 doi "https://doi.org/10.1155/2016/2012315" @default.
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