Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations, Ivan Kiguradze; T.A. Chanturia
Автор: Luis Barreira; Claudia Valls Название: Stability of Nonautonomous Differential Equations ISBN: 3540747745 ISBN-13(EAN): 9783540747741 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discusses the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. This book is suitable for researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
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.
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: 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.
Описание: This book focuses on bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types - those with jumps present either in the right-hand side, or in trajectories or in the arguments of solutions of equations.
Автор: Tom?s Caraballo; Xiaoying Han Название: Applied Nonautonomous and Random Dynamical Systems ISBN: 3319492462 ISBN-13(EAN): 9783319492469 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences.
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.
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: 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: This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence.
Автор: R.P. Kuzmina Название: Asymptotic Methods for Ordinary Differential Equations ISBN: 9048155002 ISBN-13(EAN): 9789048155002 Издательство: Springer Рейтинг: Цена: 22354.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Kloeden Peter E. Название: Nonautonomous Dynamical Systems in the Life Sciences ISBN: 3319030795 ISBN-13(EAN): 9783319030791 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation.
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