Stability of Vector Differential Delay Equations

Häftad, Engelska, 2013

769 kr

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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 others.

Produktinformation

Utgivningsdatum2013-02-26
Mått168 x 240 x 15 mm
Vikt450 g
FormatHäftad
SpråkEngelska
SerieFrontiers in Mathematics
Antal sidor259
Upplaga2013
FörlagSpringer Basel
ISBN9783034805766

Tillhör följande kategorier

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.

From the reviews: "This research monograph presents and studies the stability of linear and nonlinear delay systems. ... Every chapter begins with a brief description of its contents and is completed by 'Comments' with some remarks and references. ... the book contains many interesting results on stability analysis and can be recommended to specialists in linear stability theory and researchers interested by analysis of delay systems." (Nataliya Olegovna Sedova, Mathematical Reviews, November, 2013)