Systems of evolution equations with periodic and quasiperiodic coefficients
Author(s)
Bibliographic Information
Systems of evolution equations with periodic and quasiperiodic coefficients
(Mathematics and its applications, . Soviet series ; 87)
Kluwer Academic, c1993
Available at 25 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
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  United Kingdom
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Note
Translated from the Russian
Includes bibliographical references (p. 263-277) and index
Description and Table of Contents
Description
Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients.
Chapter 5 examines the problem concerning the reducibility of a linear system of different equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients.
Table of Contents
- Numerical-analytic method of investigation of periodic solutions for systems with aftereffect
- investigation of periodic solutions of systems with aftereffect by Bybnov-Galerkin's method
- existence of invariant toroidal manifolds for systems with lag
- investigation of the behaviour of trajectories in their vicinities
- reducibility of linear systems of difference equations with quasiperiodic coefficients
- invariant toroidal sets for systems of difference equations
- investigation of the behaviour of trajectories on toroidal sets and in their vicinities.
by "Nielsen BookData"