Oscillations and Resonances.

This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of charac...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Glebov, Sergey G.
Format: Electronic eBook
Language:Inglés
Published: Berlin/Boston, UNITED STATES : De Gruyter, 2017.
Series:De Gruyter series in nonlinear analysis and applications ; v. 23/1.
Subjects:
Nonlinear functional analysis.
Analyse fonctionnelle non linéaire.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Introduction
  • 1 Asymptotic expansions and series
  • 2 Asymptotic methods for solving nonlinear equations
  • 3 Perturbation of nonlinear oscillations
  • 4 Nonlinear oscillator in potential well
  • 5 Autoresonances in nonlinear systems
  • 6 Asymptotics for loss of stability
  • 7 Systems of coupled oscillators
  • Bibliography
  • Index.

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