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piecewise constant argument

Razumikhin type theorems for impulsive differential equations with piecewise constant argument of generalized type

Razumikhin type theorems for impulsive differential equations with piecewise constant argument of generalized type

... with piecewise constant argument (DEPCA) that contain deviation of arguments were initially proposed for investigation by Cooke, Wiener, Busenberg, and Shah ...arbitrary piecewise ...

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Invariant curves for a delay differential equation with a piecewise constant argument

Invariant curves for a delay differential equation with a piecewise constant argument

... The study of differential equations with piecewise constant argument (EPCA) initiated in [, ]. These equations represent a hybrid of continuous and discrete dynamical systems and combine the ...

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Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument

Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument

... with piecewise constant arguments (DEPCA) exist in a widely expanded areas such as biomedicine, chemistry, mechanical engineering, physics, and so ...a piecewise constant argument was ...

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8. Convergence in an impulsive advanced  differential equations with piecewise constant argument

8. Convergence in an impulsive advanced differential equations with piecewise constant argument

... a piecewise constant argument for analyzing vertically transmitted ...a piecewise constantly varying electric field, and elastic systems impelled by a Geneva ...

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Asymptotically Antiperiodic Solutions for a Nonlinear Differential Equation with Piecewise Constant Argument in a Banach Space

Asymptotically Antiperiodic Solutions for a Nonlinear Differential Equation with Piecewise Constant Argument in a Banach Space

... In this paper, we give sufficient conditions for the existence and uniqueness of asymp- totically ω -antiperiodic solutions for a nonlinear differential equation with piecewise constant argument in a ...

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On a class of third order neutral delay differential equations with piecewise constant argument

On a class of third order neutral delay differential equations with piecewise constant argument

... In this paper we study existence, uniqueness and asymptotic stability the solutions of a class of third order neutral delay differential equations.. piecewise constant argument..[r] ...

5

Almost Periodic Weak Solutions of Second Order Neutral Delay Differential Equations with Piecewise Constant Argument

Almost Periodic Weak Solutions of Second Order Neutral Delay Differential Equations with Piecewise Constant Argument

... 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 ...

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Existence and Uniqueness of Periodic Solutions for a Second Order Nonlinear Differential Equation with Piecewise Constant Argument

Existence and Uniqueness of Periodic Solutions for a Second Order Nonlinear Differential Equation with Piecewise Constant Argument

... 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 of hybrid ...

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Advanced differential equations with piecewise constant argument deviations

Advanced differential equations with piecewise constant argument deviations

... established between differential equations with piecewise constant deviations and difference equations of an integer-valued argument... may be included in our scheme too..[r] ...

33

BOUNDEDLY SOLVABILITY OF FIRST ORDER DELAY DIFFERENTIAL OPERATORS WITH PIECEWISE CONSTANT ARGUMENTS

BOUNDEDLY SOLVABILITY OF FIRST ORDER DELAY DIFFERENTIAL OPERATORS WITH PIECEWISE CONSTANT ARGUMENTS

... Abstract. Using the methods of operator theory, we investigate all boundedly solvable extensions of a minimal operator generated by first order delay differential-operator ex- pression with piecewise ...

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Stability of the logistic population model with generalized piecewise constant delays

Stability of the logistic population model with generalized piecewise constant delays

... with piecewise constant argument, whose distance between the two consecutive switching moments is equal, can be reduced into an au- tonomous difference ...ized piecewise constant ...

10

Discrete Pseudo Almost Periodic Solutions for Some Difference Equations

Discrete Pseudo Almost Periodic Solutions for Some Difference Equations

... This work is organized as follows. In Section , we consider geometrical properties of the shift operator in general case and, we deal with the properties of shift operator the spaces of almost periodic and on ergodic ...

10

Partial differential equations with piecewise constant delay

Partial differential equations with piecewise constant delay

... In Section 2, the initial value problems IVP are discussed for differential equations with piecewise constant argument EPCA in partial derivatives.. A class of loaded partial differentia[r] ...

12

On the Spectrum of Almost Periodic Solution of Second Order Neutral Delay Differential Equations with Piecewise Constant of Argument

On the Spectrum of Almost Periodic Solution of Second Order Neutral Delay Differential Equations with Piecewise Constant of Argument

... with piecewise constant argument, which were firstly considered by Cooke and Wiener 1 and Shah and Wiener 2, combine properties of both differential and difference equations and usually describe hybrid ...

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Vol 3, No 11 (2012)

Vol 3, No 11 (2012)

... with piecewise constant argument (For detailed study see [1]) are worthwhile studying since describe hybrid dynamical systems (a combination of continues and discrete) and therefore, combine ...

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Ergodic type solutions of differential equations with piecewise constant arguments

Ergodic type solutions of differential equations with piecewise constant arguments

... [23] G. Papaschinopoulos, On asymptotic behavior of the solutions of a class of perturbed differential equations with piecewise constant argument and variable coefficients, J. Math. Anal. Appl. 185 ...

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L0 Regularization for the Estimation of Piecewise Constant Hazard Rates in Survival Analysis

L0 Regularization for the Estimation of Piecewise Constant Hazard Rates in Survival Analysis

... a piecewise constant hazard model for the baseline ...a piecewise constant function and to give a very easy interpretation of the baseline hazard ...

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ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics

ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics

... Lyse Lyse is a tool for the reachability analysis of convex hybrid automata, namely hybrid automata with piecewise constant dynamics, whose constraints are possibly non-linear but re- quired to be convex. ...

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Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions

Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions

... In this paper, we propose an approach which allows us to circumvent these difficulties, while staying in spirit close to the ideas of wavelet thresholding. In our approach, the hypothesis classes H are spaces of ...

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Chaos and bifurcation of the Logistic discontinuous dynamical systems with piecewise constant arguments

Chaos and bifurcation of the Logistic discontinuous dynamical systems with piecewise constant arguments

... The discontinuous dynamical systems generated by the retarded functional equations have been defined in [1]-[4]. The dynamical systems with piecewise constant arguments have been studied in [5]-[8] and the ...

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