Invariant surfaces for certain classes of systems of the second-order to stochastic diﬀerential equations with jumps
Keywords:stochastic diﬀerential equations with jumps, invariant surfaces
In this paper, we consider the concept of invariant sets of inhomogeneous stochastic diﬀerential equations with jumps. For certain classes of systems of the second order of inhomogeneous stochastic diﬀerential equations with jumps the necessary and suﬃcient conditions for the invariance of the corresponding surfaces are established. The obtained results provide opportunities to ﬁnd the invariant surfaces and conditions of their invariance for the speciﬁed classes of stochastic diﬀerential equations.
Pages of the article in the issue: 22 - 27
Language of the article: Ukrainian
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