An edition of Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations (2013)

Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

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Cover of: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations by Valery V. Kozlov, Valery V. Kozlov
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March 28, 2025 | History
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An edition of Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations (2013)

Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

by

The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can’t be inferred on the basis of the first approximation alone.

The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special properties of the system’s dynamic behavior. It is a book for students and specialists who work with dynamical systems in the fields of mechanics, mathematics, and theoretical physics.

Publish Date
Publisher
Springer Berlin Heidelberg, Imprint: Springer
Language
English
Pages
262

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Subjects

Differential equations, Mathematical physics, Differentiable dynamical systems, Dynamical Systems and Ergodic Theory, Mathematics, Ordinary Differential Equations, Mathematical Methods in Physics, Asymptotic theory, Differential equations, nonlinear
Edition Availability
Cover of: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
2015, Springer Berlin / Heidelberg
in English
Cover of: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
Jan 12, 2013, Springer, Brand: Springer
hardcover
Cover of: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
2013, Springer Berlin Heidelberg, Imprint: Springer
electronic resource / in English

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Book Details

Table of Contents

<p>Preface
Semi-quasihomogeneous systems of ordinary differential equations
2. The critical case of purely imaginary kernels
3. Singular problems
4. The inverse problem for the Lagrange theorem on the stability of equilibrium and other related problems
Appendix A. Nonexponential asymptotic solutions of systems of functional-differential equations
Appendix B. Arithmetic properties of the eigenvalues of the Kovalevsky matrix and conditions for the nonintegrability of semi-quasihomogeneous systems of ordinary di¤erential equations
Bibliography.</p>.

Edition Notes

Published in
Berlin, Heidelberg
Series
Springer Monographs in Mathematics

Classifications

Dewey Decimal Class
515.352
Library of Congress
QA372, QA370-380

The Physical Object

Format
[electronic resource] /
Pagination
XIX, 262 p. 2 illus.
Number of pages
262

Edition Identifiers

Open Library
OL27018731M
ISBN 13
9783642338175

Work Identifiers

Work ID
OL19828521W

Source records

Internet Archive item record
Better World Books record

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
February 26, 2022 Edited by ImportBot import existing book
June 28, 2019 Created by MARC Bot Imported from Internet Archive item record