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Sturmian Theory for Ordinary Differential Equations, William T. Reid; J. Burns; T. Herdman; C. Ahlbrand


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Автор: William T. Reid; J. Burns; T. Herdman; C. Ahlbrand
Название:  Sturmian Theory for Ordinary Differential Equations
ISBN: 9780387905426
Издательство: Springer
Классификация:
ISBN-10: 0387905421
Обложка/Формат: Paperback
Страницы: 560
Вес: 0.81 кг.
Дата издания: 20.02.1981
Серия: Applied Mathematical Sciences
Язык: English
Размер: 234 x 156 x 30
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: A major portion of the study of the qualitative nature of solutions of differential equations may be traced to the famous 1836 paper of Sturm 1), (here, as elsewhere throughout this manuscript, numbers in square brackets refer to the bibliography at the end of this volume), dealing with oscilla- tion and comparison theorems for linear homogeneous second order ordinary differential equations. The associated work of Liouville introduced a type of boundary problem known as a Sturm-Liouville problem, involving, in particular, an introduction to the study of the asymptotic behavior of solu- tions of linear second order differential equations by the use of integral equations. In the quarter century following the 1891 Gottingen dissertation 1) of Maxime Bacher (1867-1918), he was instru- mental in the elaboration and extension of the oscillation, separation, and comparison theorems of Sturm, both in his many papers on the subject and his lectures at the Sorbonne in 1913-1914, which were subsequently published as his famous Leaons sur Zes methodes de Sturm 7).


Galois Theory of Linear Differential Equations

Автор: Van der Put Marius , Singer Michael F.
Название: Galois Theory of Linear Differential Equations
ISBN: 3540442286 ISBN-13(EAN): 9783540442288
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

Differential Equations for Engineers

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 9504.00 р.
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Basic Theory of Ordinary Differential Equations

Автор: Po-Fang Hsieh; Yasutaka Sibuya
Название: Basic Theory of Ordinary Differential Equations
ISBN: 0387986995 ISBN-13(EAN): 9780387986999
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Providing readers with the basic knowledge necessary to begin research on differential equations with professional ability, this title includes a selection of topics that covers the methods and results that are applicable in a variety of different fields.

Existence Theory for Nonlinear Ordinary Differential Equations

Автор: Donal O`Regan
Название: Existence Theory for Nonlinear Ordinary Differential Equations
ISBN: 0792345118 ISBN-13(EAN): 9780792345114
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This work gives an up-to-date account of many topics in the theory of nonlinear ordinary differential equations, including fixed point theory, periodic problems, lower and upper surfaces, positone and semi-positone problems, limit circle problems, and finite and infinite interval problems.

Dimension Theory for Ordinary Differential Equations

Автор: Vladimir A. Boichenko; Genadij A. Leonov; Volker R
Название: Dimension Theory for Ordinary Differential Equations
ISBN: 3519004372 ISBN-13(EAN): 9783519004370
Издательство: Springer
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Цена: 21661.00 р.
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Описание: The book is concerned with upper bounds for the Hausdorff and Fractal dimensions of flow invariant compact sets in Euclidean space and on Riemannian manifolds and the application of such bounds to global stability investigations of equilibrium points. The dimension estimates are formulated in terms of the eigenvalues of the symmetric part of the linearized vector field by including Lyapunov functions into the contraction conditions for outer Hausdorff measures. Various types of local, global and uniform Lyapunov exponents are introduced. On the base of such exponents the Lyapunov dimension of a set is defined and the Kaplan-Yorke formula is discussed. Upper estimates for the topological entropy are derived using Lyapunov functions and adapted Lozinskii norms.

Bifurcation Theory of Functional Differential Equations

Автор: Guo, Shangjiang, Wu, Jianhong
Название: Bifurcation Theory of Functional Differential Equations
ISBN: 1461469910 ISBN-13(EAN): 9781461469919
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book summarizes effective and general approaches and frameworks in the investigation of bifurcation phenomena for functional differential equations (FDEs). It provides all the tools from bifurcation theory and contains examples and applications.

Geometric Partial Differential Equations and Image Analysis

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 8078.00 р.
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Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

Geometrical Methods in the Theory of Ordinary Differential Equations

Автор: J. Sz?cs; Mark Levi; V.I. Arnold
Название: Geometrical Methods in the Theory of Ordinary Differential Equations
ISBN: 1461269946 ISBN-13(EAN): 9781461269946
Издательство: Springer
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Цена: 27950.00 р.
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Описание: The expanded second edition of this book reflects new developments including the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems and the Neistadt theory.

Ordinary Differential Equations with Applications

Автор: Chicone
Название: Ordinary Differential Equations with Applications
ISBN: 0387307699 ISBN-13(EAN): 9780387307695
Издательство: Springer
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Цена: 12577.00 р.
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Описание: A text for a graduate level course in the theory of ordinary differential equations. It contains theory and applications. It links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and abstract algebra.


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