20 citations · 51 across the 8 of their papers we have counts for
8 papers
Almost automorphic solutions of discrete delayed neutral system
Murat Adıvar, H. Can Koyuncuoglu
We study almost automorphic solutions of the discrete delayed neutral dynamic system% \[ x(t+1)=A(t)x(t)+ΔQ(t,x(t-g(t)))+G(t,x(t),x(t-g(t))) \] by means of a fixed point theorem du…
Existence of periodic solutions in shifts for neutral nonlinear dynamic systems
Murat Adivar, H. Can Koyuncuoglu, Youssef N. Raffoul
In this study, we focus on the existence of a periodic solution for the neutral nonlinear dynamic systems with delay% \[ x^Δ(t)=A(t)x(t)+Q^Δ\left(t,x\left(δ_{-}(s,t)\right) \right)…
Floquet theory based on new periodicity concept for hybrid systems involving -difference equations
Murat Adivar, H. Can Koyuncuoğlu
Using the new periodicity concept based on shifts, we construct a unified Floquet theory for homogeneous and nonhomogeneous hybrid periodic systems on domains having continuous, di…
Periodic and Asymptotically Periodic Solutions of Systems of Nonlinear Difference Equations with Infinite Delay
Murat Adıvar, H. Can Koyuncuoğlu, Youssef N. Raffoul
In this work we study the existence of periodic and asymptotically periodic solutions of a system of nonlinear Volterra difference equations with infinite delay. By means of fixed…
Halanay type inequalities on time scales with applications
Murat Adıvar, Elvan Akın Bohner
This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on t…
Shift operators and stability in delayed dynamic equations
Murat Adivar, Youssef N. Raffoul
In this paper, we use what we call the shift operator so that general delay dynamic equations of the form \[ x^Δ(t)=a(t)x(t)+b(t)x(δ_{-}(h,t))δ_{-}^Δ% (h,t),\ \ \ t\in\lbrack t_{0}…
A new periodicity concept for time scales
Murat Adıvar
By means of the shift operators we introduce a new periodicity concept on time scales. This new approach will enable researchers to investigate periodicity notion on a large class…
Quadratic pencil of difference equations: Jost solutions, spectrum, and principal vectors
Murat Adivar
In this paper, a quadratic pencil of Schrödinger type difference operator is taken under investigation to give a general perspective on the spectral analysis of non-selfadjoi…