Browsing by Author "Zafer, A."

Now showing 1 - 4 of 4

Citation - WoS: 5
Citation - Scopus: 5
On disconjugacy and stability criteria for discrete Hamiltonian systems
(Pergamon-elsevier Science Ltd, 2011) Mert, R.; Mert, Raziye; Zafer, A.; 19485; Matematik
By making use of new Lyapunov type inequalities, we establish disconjugacy and stability criteria for discrete Hamiltonian systems. The stability criteria are given when the system is periodic. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - Scopus: 12
On periodic solutions of linear impulsive delay differential systems
(2008) Akhmet, M.U.; Alzabut, J.O.; Zafer, A.; 351454
A necessary and sufficient condition is established for the existence of periodic solutions of linear impulsive delay differential systems. Copyright © 2008 Watam Press.
Citation - WoS: 33
Citation - Scopus: 36
Perron’s theorem for linear impulsive differential equations with distributed delay
(Elsevier Science Bv, 2006) Akhmet, M. U.; Alzabut, Jehad; Alzabut, J.; Zafer, A.; 207728; Matematik
In this paper it is shown that under a Perron condition trivial solution of linear impulsive differential equation with distributed delay is uniformly asymptotically stable. (c) 2005 Elsevier B.V. All rights reserved.
Citation - WoS: 1
Citation - Scopus: 0
Time scale extensions of a theorem of Wintner on systems with asymptotic equilibrium
(Taylor & Francis Ltd, 2011) Mert, R.; Mert, Raziye; Zafer, A.; 19485; Matematik
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.