Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations, Ivan Kiguradze; T.A. Chanturia

Автор: Kloeden Peter E.
Название: Nonautonomous Dynamical Systems in the Life Sciences
ISBN: 3319030795 ISBN-13(EAN): 9783319030791
Издательство: Springer
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Цена: 65210.00 T
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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.

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: 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: 102480.00 T
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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.

Автор: Luis Barreira; Claudia Valls
Название: Stability of Nonautonomous Differential Equations
ISBN: 3540747745 ISBN-13(EAN): 9783540747741
Издательство: Springer
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Цена: 41880.00 T
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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.

Автор: Marat Akhmet; Ardak Kashkynbayev
Название: Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
ISBN: 9811031797 ISBN-13(EAN): 9789811031793
Издательство: Springer
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Цена: 83850.00 T
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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
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Цена: 51230.00 T
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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.

Автор: Johnson, Russell Obaya, Rafael Novo, Sylvia Nunez, Carmen Fabbri, Roberta
Название: Nonautonomous linear hamiltonian systems: oscillation, spectral theory and control
ISBN: 3319290231 ISBN-13(EAN): 9783319290232
Издательство: Springer
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Цена: 102480.00 T
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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: 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: Lamberto Cesari
Название: Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
ISBN: 364285673X ISBN-13(EAN): 9783642856730
Издательство: Springer
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Цена: 46570.00 T
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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: R.P. Kuzmina
Название: Asymptotic Methods for Ordinary Differential Equations
ISBN: 9048155002 ISBN-13(EAN): 9789048155002
Издательство: Springer
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Цена: 149030.00 T
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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: 83430.00 T
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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.

Автор: R.P. Kuzmina
Название: Asymptotic Methods for Ordinary Differential Equations
ISBN: 0792364007 ISBN-13(EAN): 9780792364009
Издательство: Springer
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Цена: 102480.00 T
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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.