Stability of Vector Differential Delay Equations

Michael I. Gil' is professor of mathematics at Ben Gurion University of the Negev in Beer Sheva, Israel.

• 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)