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Multitype SIR epidemics among a population partitioned into households with proportionate global mixing. [PDF]
Ball F, Critcher L.
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Stability of Inverse Problems for Steady Supersonic Flows Past Lipschitz Perturbed Cones. [PDF]
Chen GG, Pu Y, Zhang Y.
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ON THE LASOTA-WAZEWSKA MODEL WITH PIECEWISE CONSTANT ARGUMENT
Acta Mathematica Scientia, 2006Abstract In this article, a delay differential equation with piecewise constant argument is considered; the existence and global attractivity condition of almost periodic solution and quasi-periodic solution are obtained.
Feng Qiuxiang, Yuan Rong
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On the Differential Equations with Piecewise Constant Argument
Journal of Dynamical and Control Systems, 2022The aim of this paper is to study some class of pseudo \(\mathcal{S}\)-asymptotically \(\omega\)-periodic functions. The authors prove the composition theorem that will be used to prove the existence of \(f\) pseudo \(\mathcal{S}\)-asymptotically \(\omega\)-periodic solution for some differential equations with piecewise constant argument.
Elhadi Ait Dads +2 more
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STABILITY AND BIFURCATION IN A LOGISTIC EQUATION WITH PIECEWISE CONSTANT ARGUMENTS
International Journal of Bifurcation and Chaos, 2009A logistic equation with piecewise constant arguments is investigated. Firstly, the linear stability of the model is studied. It is found that there exists a Hopf bifurcation when the parameter passes a critical value. Then the explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic ...
Chunrui Zhang 0001 +2 more
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Impulsive Hopfield-type neural network system with piecewise constant argument
In this paper we introduce an impulsive Hopfield-type neural network system with piecewise constant argument of generalized type. Sufficient conditions for the existence of the unique equilibrium are obtained.
M U Akhmet
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Oscillations Of Equations With Piecewise Constant Arguments
1991Abstract As we shall see, within intervals of certain length, each of the above equations has the structure of a continuous dynamical system, while the continuity of the solution at the points that join consecutive intervals leads to difference equations.
I Györi, G Ladas
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An Argument in Favor of Piecewise-Constant Membership Functions
2023Theoretically, we can have membership functions of arbitrary shape. However, in practice, at any given moment of time, we can only represent finitely many parameters in a computer. As a result, we usually restrict ourselves to finite-parametric families of membership functions.
Mizukoshi, Marina Tuyako +4 more
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A nonlinear equation with piecewise constant argument
Applicable Analysis, 1989Oscillation, nonoscillation, asymptotical stability and dynamical behavior of solution of equation are studied.
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