2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics

Editors:Kongoli F, Bordas S, Estrin Y
Publisher:Flogen Star OUTREACH
Publication Year:2015
Pages:300 pages
ISBN:978-1-987820-24-9
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
CD-SIPS2015_Volume
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    Iso-Stochastic Differential Equations

    Svetlin Georgiev1;
    1SORBONNE UNIVERSITY, Paris, France;
    Type of Paper: Keynote
    Id Paper: 539
    Topic: 1

    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.

    Cite this article as:

    Georgiev S. Iso-Stochastic Differential Equations. In: Kongoli F, Bordas S, Estrin Y, editors. Sustainable Industrial Processing Summit SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics. Volume 1. Montreal(Canada): FLOGEN Star Outreach. 2015. p. 141-142.