Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales

• Introduction To Stability And Boundedness In Dynamical Systems.- Ordinary Dynamical Systems.- Functional Dynamical Systems.- Volterra Integro-dynamic Equations.- Exotic Lyapunov Functionals for Boundedness and Stability.- Volterra Integral Dynamic Eqations.- Periodic Solutions; The Natural Set up.- Periodicity Using Shift Periodic Operators.-

“This monograph is aptly titled, as it offers a comprehensive overview of results on time scales related to periodicity, stability, and boundedness for functional dynamic equations. The strengths of the book are the sections and whole chapters dealing with periodicity; Lyapunov stability and Lyapunov functions; and functional dynamic equations, including Volterra integro-dynamic equations. … A nice feature of the book is the inclusion of open problems at the end of each chapter.” (Douglas R. Anderson, Mathematical Reviews, March, 2023)“This book is organized in the classical mathematical style: definitions, lemmata, theorems, corollaries, proofs, examples, remarks, applications, etc. In each chapter, several examples are solved and open problems, which should be of great benefit to the researchers on the subject, are proposed. The book is well written and reads very well. It provides a useful reference in the field.” (Ioannis P. Stavroulakis, zbMATH 1464.34001, 2021)