On sufficient conditions for nonexplosion of solutions to stochastic differential equations (Q751726)

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scientific article; zbMATH DE number 4178269
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On sufficient conditions for nonexplosion of solutions to stochastic differential equations
scientific article; zbMATH DE number 4178269

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    On sufficient conditions for nonexplosion of solutions to stochastic differential equations (English)
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    1990
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    This paper studies sufficient conditions for the nonexplosion of solutions to a stochastic differential equation, the results being proved by using the comparison theorem. Theorems both with and without using Lyapunov functions are proved, the main result being a stochastic version of Conti's theorem in ordinary differential equations.
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    nonexplosion of solutions
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    stochastic differential equation
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    comparison theorem
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    Lyapunov functions
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