Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations, Kulinich Grigorij, Kushnirenko Svitlana, Mishura Yuliya

Автор: Oksendal
Название: Stochastic Differential Equations
ISBN: 3540047581 ISBN-13(EAN): 9783540047582
Издательство: Springer
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Цена: 54820.00 T
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Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.

Автор: Roscoe White
Название: Asymptotic Analysis of Differential Equations (Revised)
ISBN: 1848166079 ISBN-13(EAN): 9781848166073
Издательство: World Scientific Publishing
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Цена: 107530.00 T
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Описание: Offers the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory. This book focuses on the techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.

Название: Global Solutions And The Asymptotic Behavior For Nonlinear Wave Equations With Small Initial Data
ISBN: 4864970548 ISBN-13(EAN): 9784864970549
Издательство: World Scientific Publishing
Цена: 44350.00 T
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Описание: In the study of the Cauchy problem for nonlinear wave equations with small initial data, the case where the nonlinearity has the critical power is of special interest. In this case, depending on the structure of the nonlinearity, one may observe global existence and finite time blow-up of solutions. In 80's, Klainerman introduced a sufficient condition, called the null condition, for the small data global existence in the critical case. Recently, weaker sufficient conditions are also studied.This volume offers a comprehensive survey of the theory of nonlinear wave equations, including the classical local existence theorem, the global existence in the supercritical case, the finite time blow-up and the lifespan estimate in the critical case, and the global existence under the null condition in two and three space dimensions. The main tool here is the so-called vector field method. This volume also contains recent progress in the small data global existence under some conditions weaker than the null condition, and it is shown that a wide variety of the asymptotic behavior is observed under such weaker conditions.This volume is written not only for researchers, but also for graduate students who are interested in nonlinear wave equations. The exposition is intended to be self-contained and a complete proof is given for each theorem.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Автор: Roscoe White
Название: Asymptotic Analysis of Differential Equations (Revised)
ISBN: 1848166087 ISBN-13(EAN): 9781848166080
Издательство: World Scientific Publishing
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Цена: 48570.00 T
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Описание: Offers the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory. This book focuses on the techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.

Автор: Olga Oleinik
Название: Some Asymptotic Problems in the Theory of Partial Differential Equations
ISBN: 0521485371 ISBN-13(EAN): 9780521485371
Издательство: Cambridge Academ
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Цена: 53850.00 T
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Описание: In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more.

Автор: Valery V. Kozlov; Stanislav D. Furta; Lester Senec
Название: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
ISBN: 3642432409 ISBN-13(EAN): 9783642432408
Издательство: Springer
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Цена: 111790.00 T
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Описание: With a pedagogic format ideal for graduate students, this text includes a wealth of examples focusing on solutions in dynamical systems theory that mirror those used in Lyapunov`s first method, tackling ordinary differential equations expressed as series form.

Автор: Domoshnitsky, Alexander , Berezansky, Leonid , K
Название: Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations
ISBN: 0367337541 ISBN-13(EAN): 9780367337544
Издательство: Taylor&Francis
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Цена: 193950.00 T
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Описание: This book is devoted to oscillation/nonoscillation, exponential stability, instability, existence of solutions with specific asymptotic properties for the second and the higher order functional differential equations (FDEs). These equations include delay differential equations (DDEs), integro-differential equations (IDEs).

Автор: Olga Oleinik
Название: Some Asymptotic Problems in the Theory of Partial Differential Equations
ISBN: 0521480833 ISBN-13(EAN): 9780521480833
Издательство: Cambridge Academ
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Цена: 128830.00 T
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Описание: In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more.

Автор: Sigrun Bodine; Donald A. Lutz
Название: Asymptotic Integration of Differential and Difference Equations
ISBN: 3319182471 ISBN-13(EAN): 9783319182476
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book presents the theory of asymptotic integration for both linear differential and difference equations.

Автор: Kabanov Yuri, Pergamenshchikov Sergei
Название: Two-Scale Stochastic Systems / Asymptotic Analysis and Control
ISBN: 3540653325 ISBN-13(EAN): 9783540653325
Издательство: Springer
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Цена: 93160.00 T
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Описание: Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.

Автор: M. I. Vishik
Название: Asymptotic Behaviour of Solutions of Evolutionary Equations
ISBN: 052142237X ISBN-13(EAN): 9780521422376
Издательство: Cambridge Academ
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Цена: 45410.00 T
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Описание: The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. The lectures on which it is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes.

Автор: M. I. Vishik
Название: Asymptotic Behaviour of Solutions of Evolutionary Equations
ISBN: 0521420237 ISBN-13(EAN): 9780521420235
Издательство: Cambridge Academ
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Цена: 103480.00 T
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Описание: The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. The lectures on which it is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes.