Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients

Mark J.W. Van Twist Anatolii M. Samoilenko Yuri A. Mitropolsky

ISBN 10: 9401052107 / ISBN 13: 9789401052108

Published by Springer, 2012

About this Item

pp. xiv + 280.

Seller Inventory # 26142319460

Bibliographic Details

• Title: Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 9401052107
• ISBN 13: 9789401052108
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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 difference 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.
For mathematicians whose work involves the study of oscillating systems.

Language Notes

Text: English (translation)
Original Language: Russian