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Qualitative and asymptotic analysis ...

Samoilenko, Anatoliy M.{me_controlnum}

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Qualitative and asymptotic analysis of differential equations with random perturbations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Qualitative and asymptotic analysis of differential equations with random perturbations/ Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi.
Author:	Samoilenko, Anatoliy M.{me_controlnum}
other author:	Stanzhytskyi, Oleksandr.
Published:	Singapore ;World Scientific Pub. Co., : c2011.,
Description:	ix, 312 p.
Subject:	Differential equations - Asymptotic theory. -
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/8016#t=toc
ISBN:	9789814329071 (electronic bk.)

Qualitative and asymptotic analysis of differential equations with random perturbations
Samoilenko, Anatoliy M.{me_controlnum}

Qualitative and asymptotic analysis of differential equations with random perturbations[electronic resource] /Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi. - Singapore ;World Scientific Pub. Co.,c2011. - ix, 312 p.

Includes bibliographical references (p. 295-310) and index.

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.

Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2011.

System requirements: Adobe Acrobat Reader.

ISBN: 9789814329071 (electronic bk.)Subjects--Topical Terms:

716611
Differential equations
--Asymptotic theory.

LC Class. No.: QA274.23

Dewey Class. No.: 515.35

Qualitative and asymptotic analysis of differential equations with random perturbations
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245 1 0 $a Qualitative and asymptotic analysis of differential equations with random perturbations $h [electronic resource] / $c Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi.
260 $a Singapore ; $a Hackensack, N.J. : $b World Scientific Pub. Co., $c c2011.
300 $a ix, 312 p.
504 $a Includes bibliographical references (p. 295-310) and index.
520 $a 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.
533 $a Electronic reproduction. $b Singapore : $c World Scientific Publishing Co., $d 2011. $n System requirements: Adobe Acrobat Reader. $n Mode of access: World Wide Web. $n Available to subscribing institutions.
650 0 $a Differential equations $x Asymptotic theory. $3 716611
650 0 $a Mathematical analysis. $3 516833
700 1 $a Stanzhytskyi, Oleksandr. $3 1572933
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