Monotone Nonautonomous Dynamical Systems with a First Integral

David N. Cheban
Additional contact information
David N. Cheban: Moldova State University, Vladimir Andrunachievici Institute of Mathematics and Computer Science

Chapter Chapter 6 in Monotone Nonautonomous Dynamical Systems, 2024, pp 295-355 from Springer

Abstract: Abstract In this chapter we study the problem of Bohr/Levitan almost periodicity, almost automorphy, almost recurrence in the sense of Bebutov, recurrence in the sense of Birkhoff, and Poisson stability of solutions of monotone nonautonomous differential equations x′ ( t ) = f ( t , x ( t ) ) $$\displaystyle x'(t)=f(t,x(t)) $$ having a strongly monotone first integral. We show that under some conditions every solution of Eq. (6.1.1) bounded on semiaxis has a limiting regime which has the same character of recurrence in time t as the right hand side f of Eq. (6.1.1).

Date: 2024
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:978-3-031-60057-9_6

Ordering information: This item can be ordered from
http://www.springer.com/9783031600579

DOI: 10.1007/978-3-031-60057-9_6

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 ().