Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations, Domoshnitsky, Alexander , Berezansky, Leonid , K

Автор: Elena V. Grigorieva; Sergey A. Kaschenko
Название: Asymptotic Representation of Relaxation Oscillations in Lasers
ISBN: 3319428594 ISBN-13(EAN): 9783319428598
Издательство: Springer
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Цена: 15372.00 р.
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Описание: In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors.With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differential-difference equations. As a result, they are reduced to discrete maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as multistability of large-amplitude relaxation cycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others.The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations.

Автор: Angelo B. Mingarelli; S. Gotskalk Halvorsen
Название: Non-Oscillation Domains of Differential Equations with Two Parameters
ISBN: 3540500782 ISBN-13(EAN): 9783540500780
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Offers an introduction to single linear differential equations (systems) with two parameters and extensions to difference equations and Stieltjes integral equations. This book is suitable for graduate students and researchers.

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: 16130.00 р.
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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: 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.

Автор: Uri Elias
Название: Oscillation Theory of Two-Term Differential Equations
ISBN: 0792344472 ISBN-13(EAN): 9780792344476
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Deals with oscillation theory. This title considers the two-term linear differential equations Lny + p(x)y = 0, where Ln is a disconjugate operator of order n and p(x) has a fixed sign. It pays attention to the equation y(n) + p(x)y = 0.

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.

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.

Автор: Uri Elias
Название: Oscillation Theory of Two-Term Differential Equations
ISBN: 9048148065 ISBN-13(EAN): 9789048148066
Издательство: Springer
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Цена: 19559.00 р.
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Описание: The other restricts its area of interest to certain families of equations and studies in maximal details phenomena which characterize only those equations. Among them we find third and fourth order equations, self adjoint equations, etc.