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Countable Systems of Differential Equations

Contents:

Preface
CHAPTER 1. GENERAL CONCEPTS OF THE THEORY OF INFINITE SYSTEMS OFDIFFERENTIAL EQUATIONS
Theorems on Existence and Uniqueness of Solutions
Truncation Method
Solutions of the Linear System
Matrizant of a Linear System
Normal Autonomous System
Periodic Solutions
CHAPTER 2. INVARIANT TORI
Green Function
Existence of a Smooth Invariant Torus
Cl-Differentiability of the Invariant Torus
The Case of Infinitely Many Angular Variables
Theorem on Convergence of the Sequence of Invariant Tori
Invariant Tori of Nonlinear Systems
Exponential Attraction of Motions in a Neighborhood of the InvariantTorus of a System of Equations to its Motions on the Torus
CHAPTER 3. REDUCIBILITY OF LINEAR SYSTEMS
Erugin and Floquet-Lyapunov Theorems
Periodic Systems
Systems with Almost Periodic Coefficients
Quasiperiodic Systems with Unbounded Right-Hand Side
Decomposition of Countable Systems
CHAPTER 4. IMPULSIVE SYSTEMS
Some Results of the Theory of Linear Systems
Integral Sets and Invariant Tori
Periodic Solutions for Impulsive Systems with Small Parameter
Approximate Solution of the Periodic Problem of Control
References

2003; viii+288 pages
ISBN 90-6764-393-9
Price (all prices are subject to change without notice): EUR 159/US$ 227

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