Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients (Paperback, Softcover Repri)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and its Applications, 87
Release date:	November 2012
First published:	1993
Authors:	Yuri A. Mitropolsky • Anatolii M. Samoilenko • D.I. Martinyuk
Dimensions:	240 x 160 x 16mm (L x W x T)
Format:	Paperback
Pages:	280
Edition:	Softcover Repri
ISBN-13:	978-9401052108
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	9401052107
Barcode:	9789401052108

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