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


Mert R., Zafer A.

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, cilt.17, sa.5, ss.841-857, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Konu: 5
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1080/10236191003639459
  • Dergi Adı: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
  • Sayfa Sayıları: ss.841-857

Özet

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.