Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
Author:   Valery V. Kozlov ,  Stanislav D. Furta ,  Lester Senechal
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2013 ed.
ISBN:  

9783642338168


Pages:   264
Publication Date:   12 January 2013
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations


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Overview

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.

Full Product Details

Author:   Valery V. Kozlov ,  Stanislav D. Furta ,  Lester Senechal
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   5.502kg
ISBN:  

9783642338168


ISBN 10:   364233816
Pages:   264
Publication Date:   12 January 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

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.

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