Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Kozlov, Valery V. (Author), Furta, Stanislav D. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Springer Monographs in Mathematics,
Subjects:
Differential equations.
Dynamical systems.
Mathematical physics.
Differential Equations.
Dynamical Systems.
Mathematical Methods in Physics.
Online Access:Texto Completo
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 dierential equations
  • Bibliography.

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