vbid/9783030421175

Description

Motivated by recent increased activity of research on time scales, the book� provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales. Researchers and graduate students who are interested in the method of Lyapunov functions/functionals, in the study of boundedness of solutions, in the stability of the zero solution, or in the existence of periodic solutions should be able to use this book as a primary reference and as a resource of latest findings. This book contains many open problems and should be of great benefit to those who are pursuing research in dynamical systems or in Volterra integro-dynamic equations on time scales with or without delays. Great efforts were made to present rigorous and detailed proofs of theorems. The book should serve as an encyclopedia on the�construction of Lyapunov functionals in analyzing solutions of dynamical systems�on timescales. The book is suitable for a graduate course in the format of graduate�seminars or as special topics course on dynamical systems. The book should be of interest to investigators in biology, chemistry, economics, engineering, mathematics and physics.Typham this is the title: Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales