Описание: This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.
Автор: Roscoe White Название: Asymptotic Analysis of Differential Equations (Revised) ISBN: 1848166079 ISBN-13(EAN): 9781848166073 Издательство: World Scientific Publishing Рейтинг: Цена: 16130.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Roscoe White Название: Asymptotic Analysis of Differential Equations (Revised) ISBN: 1848166087 ISBN-13(EAN): 9781848166080 Издательство: World Scientific Publishing Рейтинг: Цена: 7286.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: R.P. Kuzmina Название: Asymptotic Methods for Ordinary Differential Equations ISBN: 0792364007 ISBN-13(EAN): 9780792364009 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
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.
Описание: A record of the workshop on asymptotic-induced numerical methods for partial differential equations, critical parameters and domain decomposition, held at Beaune, France. The book discusses new computational methods, recent algorithm developments and techniques in mathematical modelling.
Автор: Kabanov Yuri, Pergamenshchikov Sergei Название: Two-Scale Stochastic Systems / Asymptotic Analysis and Control ISBN: 3540653325 ISBN-13(EAN): 9783540653325 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
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.
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