Time scale extensions of a theorem of Wintner on systems with asymptotic equilibrium

Date

2011-01-01

Author

Mert, R.
Zafer, Ağacık

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Abstract We consider quasilinear dynamic systems of the form[image omitted]where is a time scale, and provide extensions of a theorem of Wintner on systems with asymptotic equilibrium to arbitrary time scales. More specifically, we give sufficient conditions for the asymptotic equilibrium of the above system in the sense that for any given constant vector c, there is a solution satisfying[image omitted] Our results are new for difference equations, q-difference equations and many other time scale systems even though their analogous for differential equations have been known for some time.

Subject Keywords

Algebra and Number Theory, Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/52148

Journal

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

DOI

https://doi.org/10.1080/10236191003639459

Collections

Department of Mathematics, Article

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Citation Formats

R. Mert and A. Zafer, “Time scale extensions of a theorem of Wintner on systems with asymptotic equilibrium,” JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, pp. 841–857, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52148.