Author: Shih-hung Chang
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
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Book Description
Generalization of the Diliberto theory of periodic surfaces to the case of singular perturbation has been made. In this paper two basic types of singularly perturbed systems of ordinary differential equations have been investigated and the existence, continuous dependence on parameter and uniqueness of periodic surfaces have been obtained. (Author).
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1572
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Book Description
Author: S. P. Diliberto
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 246
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Book Description
Author: Jack K. Hale
Publisher: Courier Corporation
ISBN: 0486472116
Category : Mathematics
Languages : en
Pages : 386
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Book Description
This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.
Author: Peter W. Bates
Publisher: American Mathematical Soc.
ISBN: 0821808680
Category : Mathematics
Languages : en
Pages : 145
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Book Description
Extends the theory for normally hyperbolic invariant manifolds to infinite dimensional dynamical systems in a Banach space, thereby providing tools for the study of PDE's and other infinite dimensional equations of evolution. In the process, the authors establish the existence of center-unstable and center-stable manifolds in a neighborhood of the unperturbed compact manifold. No index. Annotation copyrighted by Book News, Inc., Portland, OR
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ISBN:
Category : Industrial arts
Languages : en
Pages : 1118
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Author:
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ISBN:
Category : Naval research
Languages : en
Pages : 476
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Book Description
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400903650
Category : Mathematics
Languages : en
Pages : 743
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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: Halanay
Publisher: Academic Press
ISBN: 0080955290
Category : Computers
Languages : en
Pages : 543
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Book Description
Differential Equations
Author: Lamberto Cesari
Publisher: Springer
ISBN: 3662015293
Category : Mathematics
Languages : en
Pages : 278
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Book Description
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.
