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PLENARY LECTURES AND VIP GUESTS
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Svetlin Georgiev

Sorbonne University

Iso-stochastic Differential Equations
Aifantis International Symposium
(2nd Intl. symp. on Multiscale Material Mechanics in the 21st Century)[Applied Mathematics]


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Abstract:

In this talk we give definition for iso-stochastic differential equations of the first, second and third kind. We formulate and prove general existence and uniqueness theorems for these classes iso-stochastic differential equations. Dependence on parameters and initial data are investigated. The steps are given for finding of the iso-derivative with respect a parameter for the main classes iso-stochastic equations. Various cases are considered for Lyapunov and structural stability of the solutions of the main classes iso-stochastic equations.

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