Displaying similar documents to “On the uniqueness of solutions of stochastic differential equations with reflecting barrier conditions”

On stochastic differential equations with locally unbounded drift

István Gyöngy, Teresa Martínez (2001)

Czechoslovak Mathematical Journal

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We study the regularizing effect of the noise on differential equations with irregular coefficients. We present existence and uniqueness theorems for stochastic differential equations with locally unbounded drift.

Absorption in stochastic epidemics

Josef Štěpán, Jakub Staněk (2009)

Kybernetika

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A two dimensional stochastic differential equation is suggested as a stochastic model for the Kermack–McKendrick epidemics. Its strong (weak) existence and uniqueness and absorption properties are investigated. The examples presented in Section 5 are meant to illustrate possible different asymptotics of a solution to the equation.