Exotic Lyapunov Functionals for Boundedness and Stability

Murat Adıvar and Youssef N. Raffoul
Additional contact information
Murat Adıvar: Fayetteville State University, Broadwell College of Business and Economics
Youssef N. Raffoul: University of Dayton, Department of Mathematics

Chapter Chapter 5 in Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales, 2020, pp 195-236 from Springer

Abstract: Summary This chapter is devoted primarily to the construction of exotic Lyapunov functionals for the study of boundedness, stability and exponential stability. Necessary and sufficient conditions for scalar and vector Volterra integro-dynamic equations will be given via the use of Lyapunov functionals. It is pointed out that in the case of exponential stability, Lyapunov functionals are hard to extend to vector Volterra integro-dynamic equations Volterra integro-dynamic or to Volterra integro-dynamic equations with infinite delay Infinite delay . Most of the contents of this chapter are new and never been published elsewhere.

Date: 2020
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-42117-5_5

Ordering information: This item can be ordered from
http://www.springer.com/9783030421175

DOI: 10.1007/978-3-030-42117-5_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().