Stability of Vector Differential Delay Equations

• Main Author: Gil’, Michael I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Differential equations.; Applied mathematics.; Engineering mathematics.; System theory.; Ordinary Differential Equations.; Systems Theory, Control.; Applications of Mathematics.

Differential equations with delay naturally arise in various applications, such as control systems, viscoelasticity, mechanics, nuclear reactors, distributed networks, heat flows, neural networks, combustion, interaction of species, microbiology, learning models, epidemiology, physiology, and many o...

Table of Contents:

• Preface
• 1 Preliminaries
• 2 Some Results of the Matrix Theory
• 3 General Linear Systems
• 4 Time-invariant Linear Systems with Delay
• 5 Properties of Characteristic Values
• 6 Equations Close to Autonomous and Ordinary Differential Ones
• 7 Periodic Systems
• 8 Linear Equations with Oscillating Coefficients
• 9 Linear Equations with Slowly Varying Coefficients
• 10 Nonlinear Vector Equations
• 11 Scalar Nonlinear Equations
• 12 Forced Oscillations in Vector Semi-Linear Equations
• 13 Steady States of Differential Delay Equations
• 14 Multiplicative Representations of Solutions
• Appendix A. The General Form of Causal Operators
• Appendix B. Infinite Block Matrices
• Bibliography
• Index.    .