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Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Lamberto Cesari


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Автор: Lamberto Cesari
Название:  Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
ISBN: 9783642856730
Издательство: Springer
Классификация: ISBN-10: 364285673X
Обложка/Формат: Paperback
Страницы: 274
Вес: 0.41 кг.
Дата издания: 19.04.2012
Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Язык: English
Размер: 234 x 156 x 15
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen- ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto- matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call qualitative theory of differential equations. The purpose of the present volume is to present many of the view- points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.


Asymptotic Integration and Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order

Автор: Baleanu Dumitru, Mustafa Octavian G., Baleanu D.
Название: Asymptotic Integration and Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order
ISBN: 981464109X ISBN-13(EAN): 9789814641098
Издательство: World Scientific Publishing
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Цена: 12514.00 р.
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Описание: This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.

Two-Scale Stochastic Systems / Asymptotic Analysis and Control

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: 13974.00 р.
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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.

Asymptotic Issues For Some Partial Differential Equations

Автор: Chipot Michel Marie
Название: Asymptotic Issues For Some Partial Differential Equations
ISBN: 1783268913 ISBN-13(EAN): 9781783268917
Издательство: World Scientific Publishing
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Цена: 10771.00 р.
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Описание:

"The monograph is well written and organized and recommended to graduate students and researchers in applied mathematics or engineering."

Zentralblatt MATH

Much progress has been made in recent years on the issue of asymptotic behavior of problems set in cylinders. This book goes one step further by presenting the latest accomplishments on asymptotic behavior in domains which become unbounded.

It also investigates new issues which have emerged including existence and uniqueness of solution in unbounded domains, anisotropic singular perturbations, periodic behavior forced by periodic data. These new advances are treated with original techniques developed to investigate the asymptotic behavior of various problems.

Theories investigated throughout the book can be applied to other problems related to partial differential equations, making it an important text for students and researchers within the discipline.

Asymptotic Issues for Some Partial Differential Equations is an updated account of ℓ Goes to Plus Infinity, published by BirkhAuser in 2002.

Asymptotic Integration of Differential and Difference Equations

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: 9781.00 р.
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Описание: This book presents the theory of asymptotic integration for both linear differential and difference equations.

Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations

Автор: Kelei Wang
Название: Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
ISBN: 364244248X ISBN-13(EAN): 9783642442483
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The results of this exceptional thesis on free boundary problems in singularly perturbed PDEs develop our understanding of the effects of strong competition between species. The research has a wealth of valuable applications in both physics and biology.

Asymptotic Methods for Ordinary Differential Equations

Автор: R.P. Kuzmina
Название: Asymptotic Methods for Ordinary Differential Equations
ISBN: 0792364007 ISBN-13(EAN): 9780792364009
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Considers the Cauchy problem for a system of ordinary differential equations with a small parameter, filling in areas that have not been extensively covered in the existing literature. This volume is suitable for researchers and graduate students specialising in ordinary differential equations.

Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

Автор: Ivan Kiguradze; T.A. Chanturia
Название: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations
ISBN: 079232059X ISBN-13(EAN): 9780792320593
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Reviews developments which have taken place concerning asymptotic properties of solutions of nonautonomous differential equations. The conditions of oscillation of solutions are established and some theorems on the classification of equations according to their oscillatory properties are proved.

Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

Автор: Ivan Kiguradze; T.A. Chanturia
Название: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations
ISBN: 9401047979 ISBN-13(EAN): 9789401047975
Издательство: Springer
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Цена: 6986.00 р.
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Asymptotic Methods for Ordinary Differential Equations

Автор: R.P. Kuzmina
Название: Asymptotic Methods for Ordinary Differential Equations
ISBN: 9048155002 ISBN-13(EAN): 9789048155002
Издательство: Springer
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Цена: 22354.00 р.
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Some Asymptotic Problems in the Theory of Partial Differential Equations

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: 8078.00 р.
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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.

Some Asymptotic Problems in the Theory of Partial Differential Equations

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: 19325.00 р.
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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.

Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters

Автор: H.G. Kaper; Gail W. Pieper; Marc Garbey
Название: Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters
ISBN: 9401047987 ISBN-13(EAN): 9789401047982
Издательство: Springer
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Цена: 27950.00 р.
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