Qualitative and Asymptotic Analysis of Differential Equations With Random Perturbations: 78 - Rilegato

Samoilenko, Anatoliy M.; Stanzhytskyi, Oleksandr

 
9789814329064: Qualitative and Asymptotic Analysis of Differential Equations With Random Perturbations: 78
Rilegato
ISBN 10: 9814329061 ISBN 13: 9789814329064
Casa editrice: World Scientific Pub Co Inc, 2011

Sinossi

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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Recensione

"This book is well written and readable. Most results included in the book are by the authors. All chapters contain a final section with comments and references, where the authors make a detailed description of the origin of the results. This is a helpful point for all readers, especially for researchers in the field." --Mathematical Reviews

"This monograph collects a great variety of stimulating results concerning random perturbation theory always deeply rooted in the classical theory of ordinary differential equations and celestial mechanics. Despite its technical content the text is written in a clear and accessible way, with many insightful explanations. The fact that each chapter closes with a detailed review on the current literature and the historic development of the theory is highly appreciated." --Zentralblatt MATH

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Editore
World Scientific Pub Co Inc
Data di pubblicazione
2011
Lingua
Inglese
ISBN 10 
9814329061
ISBN 13 
9789814329064
Rilegatura
Copertina rigida
Numero di pagine
312
Contatto del produttore
non disponibile
Persona responsabile
non disponibile