Stability of strong solutions of stochastic differential equations (Q1120904)

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scientific article; zbMATH DE number 4102223
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Stability of strong solutions of stochastic differential equations
scientific article; zbMATH DE number 4102223

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    Stability of strong solutions of stochastic differential equations (English)
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    1989
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    Stochastic integral equations with respect to semimartingales are considered. Sufficient conditions under which a sequence of driving processes converges in law (or in probability) is given. This stability theorem is proved under assumptions both for the driving processes and the semimartingales. Some important applications are presented. Here the conditions are less strict than those in the existing literature.
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    Stochastic integral equations with respect to semimartingales
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    stability theorem
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