Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients

ISBN-13: 9780792320548 / Angielski / Twarda / 1992 / 296 str.

Iu A. Mitropol'skii; Yuri A. Mitropolsky; A. M. Samoilenko

Opis

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.

Spis treści

Preface. 1. Numerical-Analytical Method of Investigation of Periodic Solutions for Systems with Aftereffect. 2. Investigation of Periodic Solutions of Systems with Aftereffect by Bubnov-Gelerkin's Method. 3. Quasiperiodic Solutions of Systems with Lag. Bubnov-Galerkin's Method. 4. Existence of Invariant Toroidal Manifolds for Systems with Lag. Investigation of the Behaviour of Trajectories in their Vicinities. 5. Reducibility of Linear Systems of Difference Equations with Quasiperiodic Coefficients. 6. Invariant Toroidal Sets for Systems of Difference Equations. Investigation of the Behavior of Trajectories on Toroidal Sets and in their Vicinities. References. Index.