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On periodic solutions of differential equations with piecewise constant argument [PDF]
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. U. Akhmet, Cemil Büyükadali
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Қарағанды университетінің хабаршысы. Математика сериясыThe article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
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Advances in Difference Equations, 2018 In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on the Lyapunov–Razumikhin method and impulsive control theory, we obtain some Razumikhin-type ...
Qiang Xi
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Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument [PDF]
Journal of Applied Mathematics, 2014 By using the concept of differential equations with piecewise constant argument of generalized type, a model of stochastic cellular neural networks with piecewise constant argument is developed.
Xiaoai Li
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Advances in Difference Equations, 2008 We investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form , where denotes the greatest integer function, is a real nonzero constant, and is ...
Wang Li, Zhang Chuanyi
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On a class of third order neutral delay differential equations with piecewise constant argument [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper we study existence, uniqueness and asymptotic stability of the solutions of a class of third order neutral delay differential equations with piecewise constant argument.
Garyfalos Papaschinopoulos
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Qualitative properties of a third-order differential equation with a piecewise constant argument [PDF]
Electronic Journal of Differential Equations, 2017 We consider a third order differential equation with piecewise constant argument and investigate oscillation, nonoscillation and periodicity properties of its solutions.
Huseyin Bereketoglu +2 more
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On the Integral Manifold for a System of Differential Equations with Piecewise Constant Argument [PDF]
Journal of Mathematical Analysis and Applications, 1996 The paper deals with the system of differential equations \(x'(t) = B(t)x([t]) + f(t,x(t), y(t))\), \(y'(t) = A(t) y(t) + C(t)y ([t]) + g(t, x(t), y(t))\) and the existence of a solution (x(t), y(t))\(, t \in \mathbb{R}\) as well as of an integral manifold are investigated.
Papaschinopoulos, Garyfalos
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Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2010 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Oleg Davydov, Davydov, Oleg
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Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument [PDF]
, 2017 This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument. Moreover, oscillation, nonoscillation and periodicity of the solutions are investigated.
Karakoc, Fatma +5 more
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