More on Linear Differential Systems with Small Delays

Convergence of Solutions of Nonhomogeneous Linear Difference Systems with Delays

“…In Sect. 2, the main results of the paper, Theorem 1, Theorem 2, and Theorem 3, are presented and a method is described for the numerical approximation of the limit l(ϕ) of the solution x(t) of problems (1), (2). Section 3 contains the proof of our first main result, Theorem 1.…”

More on the Behavior of Solutions to Linear Integrodifferential Equations with Unbounded Delay

“…The results in [20] extend and improve previous ones given by Kordonis and Philos [18] for the special case of (nonneutral) integrodi¤erential equations with unbounded delay. The work in the papers [18] and [20] is motivated by some asymptotic and stability results for delay di¤erential equations or neutral delay di¤erential equations, which have bounded delay, given by Driver [6], Driver, Sasser and Slater [8], Frasson and Verduyn Lunel [9], Graef and Qian [12], Kordonis, Niyianni and Philos [17], Philos [26], and Philos and Purnaras [27,28] (see, also, the papers by Arino and Pituk [1], Driver [7], and Gyö ri [14] for some closely related results).…”

An asymptotic result and a stability criterion for linear nonautonomous delay difference equations

“…This result is motivated by a very interesting asymptotic criterion due to Driver [3] (see, also, Arino and Pituk [1]) for the solutions of linear differential systems with small delays as well as by the results given in the papers by Driver [2], Driver, Sasser and Slater [5], Graef and Qian [6], Kordonis, Niyianni and Philos [7], Philos [10], and Philos and Purnaras [11]. It is the subject of this paper to present the discrete analogues of the results in [12].…”