Nonoscillation of solutions to a linear stochastic Itô equation of the second order (Q2850470)

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scientific article; zbMATH DE number 6212606
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Nonoscillation of solutions to a linear stochastic Itô equation of the second order
scientific article; zbMATH DE number 6212606

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    26 September 2013
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    linear stochastic Itô equation
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    asymptotic equivalence
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    nonoscillating solutions
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    Nonoscillation of solutions to a linear stochastic Itô equation of the second order (English)
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    The author deals with the problem of oscillating solutions to a stochastic Itô equation. She obtains conditions under which all nontrivial solutions to the stochastic Itô equation of the second order NEWLINE\[NEWLINE\ddot{x}+(p(t)+q(t)\dot{w}(t))x=0NEWLINE\]NEWLINE are not oscillatory on the semiaxis.
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