Qualitative and Asymptotic Analysis of Differential Equations With Random Perturbations: World Scientific Series on Nonlinear Science, Series a

Samoilenko, Anatoliy M./ Stanzhytskyi, Oleksandr

ISBN 10: 9814329061 / ISBN 13: 9789814329064

Published by World Scientific Pub Co Inc, 2011

About this Item

1st edition. 350 pages. 9.50x6.50x0.75 inches. In Stock.

Seller Inventory # x-9814329061

Bibliographic Details

• Title: Qualitative and Asymptotic Analysis of Differential Equations With Random Perturbations: World Scientific Series on Nonlinear Science, Series a
• Publisher: World Scientific Pub Co Inc
• Publication Date: 2011
• Language: English
• ISBN 10: 9814329061
• ISBN 13: 9789814329064
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.66 kilograms

About this title

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 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.

From the Back Cover

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.