[share_ebook] Qualitative and Asymptotic Analysis of Differential Equations With Random Perturbations


Author: Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi

Date: 2011-06-07

ISBN: 9814329061

Pages: 324

Language: English

Publisher: World Scientific Publishing Company

Category: Study

Tag: Mathematics


Posted on 2011-11-18, by LionFar.

Description


Title:Qualitative and Asymptotic Analysis of Differential Equations With Random Perturbations
Date2011-06-07
Language:English
Format: PDF
Size:2.57 MB

Description: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 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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