书目名称 | Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales | 编辑 | Murat Adıvar,Youssef N. Raffoul | 视频video | | 概述 | Synthesizes the theoretical aspect of functional dynamical systems and its applications to Volterra integrals and integro-dynamical systems on time scales.Presents detailed proofs of theorems.Allows u | 图书封面 |  | 描述 | 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, eng | 出版日期 | Book 2020 | 关键词 | Time scales; Stability; Periodicity; Lyapunov functionals; Shift operators; Fixed point theory; Resolvent; | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-42117-5 | isbn_ebook | 978-3-030-42117-5 | copyright | Springer Nature Switzerland AG 2020 |
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