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**On inverse problem of closure of differential systems with degenerate diffusion.**
*(English)*
Zbl 1463.34067

Summary: The quasi-inversion method is used to obtain necessary and sufficient conditions for the solvability of the inverse closure problem in the class of stochastic differential Itô systems of the first order with random perturbations from the class of processes with independent increments and diffusion degenerate with respect to a part of the variables.

### MSC:

34A55 | Inverse problems involving ordinary differential equations |

60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |

35F05 | Linear first-order PDEs |

34C45 | Invariant manifolds for ordinary differential equations |

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\textit{M. I. Tleubergenov} and \textit{G. T. Ibraeva}, Eurasian Math. J. 10, No. 2, 93--102 (2019; Zbl 1463.34067)

### References:

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