Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients PDF Download

Author: Erugin
Publisher: Academic Press
ISBN: 0080955355
Category : Computers
Languages : en
Pages : 295

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Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients

Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400959885
Category : Mathematics
Languages : en
Pages : 540

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Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Author: Harris
Publisher: Academic Press
ISBN: 0080956610
Category : Computers
Languages : en
Pages : 247

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Book Description
Stability of Linear Systems: Some Aspects of Kinematic Similarity

Author: V. I. Arnol_d
Publisher: American Mathematical Soc.
ISBN: 9780821896518
Category :
Languages : en
Pages : 278

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Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937919
Category : Mathematics
Languages : en
Pages : 932

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Author: Lev Semenovich Pontri︠a︡gin
Publisher: Pergamon
ISBN:
Category : Mathematics
Languages : en
Pages : 312

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Book Description
Ordinary Differential Equations presents the study of the system of ordinary differential equations and its applications to engineering. The book is designed to serve as a first course in differential equations. Importance is given to the linear equation with constant coefficients; stability theory; use of matrices and linear algebra; and the introduction to the Lyapunov theory. Engineering problems such as the Watt regulator for a steam engine and the vacuum-tube circuit are also presented. Engineers, mathematicians, and engineering students will find the book invaluable.

Author: A.M. Fink
Publisher: Springer
ISBN: 3540383077
Category : Mathematics
Languages : en
Pages : 345

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Book Description

Author: Zhensheng Lin
Publisher: World Scientific
ISBN: 9789810242831
Category : Mathematics
Languages : en
Pages : 222

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Book Description
Historically, the theory of stability is based on linear differential systems, which are simple and important systems in ordinary differential equations. The research on differential equations and on the theory of stability will, to a certain extent, be influenced by the research on linear differential systems. For differential linear equation systems, there are still many historical open questions attracting mathematicians. This book deals with the theory of linear differential systems developed around the notion of exponential dichotomies. The authors advance the theory of stability through their research in this field. Several new important results on linear differential systems are presented. They concern exponential dichotomy and the structure of the sets of hyperbolic points. The book has five chapters: Chapter 1 introduces some necessary classical results on the linear differential systems, and the following chapters discuss exponential dichotomy, spectra of almost periodic linear systems, the Floquet theory for quasi periodic linear systems and the structure of sets of hyperbolic points. This book is a very useful reference in the area of the stability theory of ordinary differential equations and the theory of dynamic systems.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 424

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Book Description

Author: Ondrej Dosly
Publisher: Elsevier
ISBN: 0080461239
Category : Mathematics
Languages : en
Pages : 533

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Book Description
The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE's with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations.- The first complete treatment of the qualitative theory of half-linear differential equations.- Comparison of linear and half-linear theory.- Systematic approach to half-linear oscillation and asymptotic theory.- Comprehensive bibliography and index.- Useful as a reference book in the topic.