Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations (World Scientific Series on Nonlinear Science Series A: Volume 78)

Samoilenko Anatoliy M

ISBN 10: 9814329061 ISBN 13: 9789814329064
Edité par World Scientific Publishing Company, 2011
Neuf(s) Couverture rigide

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Synopsis :

Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on the random factors. The modern theory of differential equations with random perturbations is on the edge of two mathematical disciplines: random processes and ordinary differential equations. Consequently, the sources of these methods come both from the theory of random processes and from the classic theory of differential equations. This work focuses on the approach to stochastic equations from the perspective of ordinary differential equations. For this purpose, both asymptotic and qualitative methods which appeared in the classical theory of differential equations and nonlinear mechanics are developed.

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Titre : Qualitative and Asymptotic Analysis of ...
Éditeur : World Scientific Publishing Company
Date d'édition : 2011
Reliure : Couverture rigide
Etat : New

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