Browsing by Author "Mert, R."

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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: 0
On the oscillation of solutions of a nonlinear dynamic system on time scales
(2012) Erbe, L.; Mert, Raziye; Mert, R.; Matematik
We study the oscillation properties of a system of two first-order nonlinear equations on time scales. This form includes the classical Emden-Fowler differential and difference equations and many of its extensions. We provide a corrected formulation of some earlier oscillation results as well as providing some new oscillation criteria. © Dynamic Publishers, Inc.
Citation - Scopus: 3
Oscillation for a nonlinear dynamic system on time scales
(2011) Erbe, L.; Mert, Raziye; Mert, R.; 19485; Matematik
We study the oscillation properties of a system of two first-order nonlinear equations on time scales. This form includes the classical Emden-Fowler differential and difference equations and many of its extensions. We generalize some well-known results of Atkinson, Belohorec, Waltman, Hooker, Patula and others and also describe the relation to solutions of a delay-dynamic system. © 2011 Taylor & Francis.
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.