Stability analysis of a population model with piecewise constant arguments
Nonlinear Analysis: Real World Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozturk, I., Bozkurt, F.
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Boundness and Linearisation of a Class of Differential Equations with Piecewise Constant Argument [PDF]
Qualitative Theory of Dynamical Systems, 2018 The differential equations with piecewise constant argument (DEPCAs, for short) is a class of hybrid dynamical systems (combining continuous and discrete). In this paper, under the assumption that the nonlinear term is partially unbounded, we study the bounded solution and global topological linearisation of a class of DEPCAs of general type.
Changwu Zou +4 more
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Joint segmentation of piecewise constant autoregressive processes by using a hierarchical model and a Bayesian sampling approach [PDF]
, 2006 We propose a joint segmentation algorithm for piecewise constant autoregressive (AR) processes recorded by several independent sensors. The algorithm is based on a hierarchical Bayesian model.
Davy, Manuel +2 more
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On the stability of solutions of certain systems of differential equations with piecewise constant argument [PDF]
, 2002 summary:We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant ...
Grace, S. R. +3 more
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Advanced differential equations with piecewise constant argument deviations
International Journal of Mathematics and Mathematical Sciences, 1983 Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems ...
S. M. Shah, Joseph Wiener
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of a quasilinear system of differential ...
Alan Chávez +2 more
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Unpredictable Oscillations for Hopfield-Type Neural Networks with Delayed and Advanced Arguments
Mathematics, 2021 This is the first time that the method for the investigation of unpredictable solutions of differential equations has been extended to unpredictable oscillations of neural networks with a generalized piecewise constant argument, which is delayed and ...
Marat Akhmet +3 more
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NGMV control of delayed piecewise affine systems [PDF]
, 2010 A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of piecewise affine (PWA) systems. Under some conditions, discrete-time PWA systems can be transferred into an equivalent state-dependent nonlinear system ...
Pang, Y., Grimble, Michael
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Stability in cellular neural networks with a piecewise constant argument
Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marat U. Akhmet +2 more
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ADVANCED IMPULSIVE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
Mathematical Modelling and Analysis, 2010 We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments. We also study the conditions of periodicity, oscillation, nonoscillation and global asymptotic stability for some special cases.
Bereketoglu, Hüseyin +2 more
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