Existence of Periodic Solutions for a Neutral Differential Equation with Piecewise Constant Argument
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness of Periodic Solutions for a Second-Order Nonlinear Differential Equation with Piecewise Constant Argument
Qualitative behaviors of first-order delay differential equations with piecewise constant arguments are the subject of many investigations see, e.g., 1–19 , while those of higherorder equations are not. However, there are reasons for studying higher-order equations with piecewise constant arguments. Indeed, as mentioned in 10 , a potential application of these equations is in the stabilization ...
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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...
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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
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Several aspects of global dynamics are studied for the scalar differential-difference equation εẋ(t) + x(t) = f (x([t])), 0 < ε 1, where [·] is the integer part function. The equation is a particular case of the special discretization (discrete version) of the singularly perturbed differential delay equation εẋ(t)+ x(t) = f (x(t−1)). Sufficient conditions for the invariance, global stability of...
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ژورنال
عنوان ژورنال: Funkcialaj Ekvacioj
سال: 2005
ISSN: 0532-8721
DOI: 10.1619/fesi.48.299