Stability of Vector Differential Delay Equations

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gil', Michael I. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Colección:Frontiers in Mathematics,
Temas:
Differential equations.
System theory.
Control theory.
Mathematics.
Differential Equations.
Systems Theory, Control .
Applications of Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.    .

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