Browsing by Author "Alzabut, J.O."

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Citation - Scopus: 5
A Necessary and Sufficient Condition for the Existence of Periodic Solutions of Linear Impulsive Differential Equations With Distributed Delay
(2007) Alzabut, J.O.; Alzabut, Jehad; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
A necessary and sufficient condition is established for the existence of periodic solutions of linear impulsive differential equations with distributed delay.
Citation - Scopus: 12
On Periodic Solutions of Linear Impulsive Delay Differential Systems
(2008) Alzabut, Jehad; Akhmet, M.U.; Alzabut, J.O.; Zafer, A.; 351454; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
A necessary and sufficient condition is established for the existence of periodic solutions of linear impulsive delay differential systems. Copyright © 2008 Watam Press.
A Stability Criterion for Delay Differential Equations With Impulse Effects
(World Scientific Publishing Co., 2007) Alzabut, J.O.; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we prove that if a delay differential equation with impulse effects of the form x’(t) = A(t)x(t) + B(t)x(t - τ), t ≠ θi, Δx(θi) = Cix(θi) + Dix(θi-j); i ∈ 2 N; verfies a Perron condition then its trivial solution is uniformly asymptotically stable. © 2007 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.