Almost periodic solutions of N-th order neutral differential difference equations with piecewise constant arguments
نویسنده
چکیده
In this paper, we study the existence of almost periodic solutions of neutral differential difference equations with piecewise constant arguments via difference equation methods.
منابع مشابه
Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
Differential equations with piecewise constant argument, which were firstly considered by Cooke and Wiener 1 , and Shah and Wiener 2 , usually describe hybrid dynamical systems a combination of continuous and discrete and so combine properties of both differential and difference equations. Over the years, great attention has been paid to the study of the existence of almost-periodic-type soluti...
متن کاملErgodic Type Solutions of Differential Equations with Piecewise Constant Arguments
We summarize the conditions discovered for the existence of new ergodic type solutions (asymptotically almost periodic, pseudo almost periodic, . . .) of differential equations with piecewise constant arguments. Their existence is characterized by introducing a new tool, the ergodic sequences. 2000 Mathematics Subject Classification. 39-02, 34K14, 34D09.
متن کاملExistence of Almost Periodic Solutions to Nth-Order Neutral Differential Equations with Piecewise Constant Arguments
and Applied Analysis 3 Now one rewrites 1.1 as the following equivalent system ( x t px t − 1 )′ y1 t , 2.31 y′ 1 t y2 t , 2.32 .. .. y′ N−2 t yN−1 t , 2.3N−1 y′ N−1 t qx t f t . 2.3N 2.3 Let x t , y1 t , . . . , yN−1 t be solutions of system 2.3 on , for n ≤ t < n 1, n ∈ , using 2.3N we obtain yN−1 t yN−1 n qx n t − n ∫ t
متن کاملOn the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument
The spectrum containment of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument EPCA, for short of the form x t px t − 1 ′′ qx 2 t 1 /2 f t is considered. The main result obtained in this paper is different from that given by some authors for ordinary differential equations ODE, for short and clearly shows the differences between ODE...
متن کاملPositive Periodic Solutions for Nonlinear Difference Equations via a Continuation Theorem
are particular cases of (1.1). As another reason, (1.1) is intimately related to delay differential equations with piecewise constant independent arguments. To be more precise, let us recall that a solution of (1.1) is a real sequence of the form {yn}n∈Z which renders (1.1) into an identity after substitution. It is not difficult to see that solutions can be found when an appropriate function f...
متن کامل