Results 261 to 270 of about 2,053,633 (282)

Stability analysis of a mathematical model in a microcosm with piecewise constant arguments

Mathematical Biosciences, 2012
In this paper, we have modeled a population density of a bacteria species in a microcosm by using a differential equation, [Formula in text] where t ≥ 0, the parameters r, α, β(0) and β(1) denote positive numbers ann [t] denotes the integer part of [Formula in text].
Bozkurt, Fatma, Gürcan, Fuat, Öztürk, Ilhan   +2 more
openaire   +4 more sources

Pseudo almost periodic solutions of differential equations with piecewise constant arguments

Applicable Analysis, 1999
The authors consider linear and nonlinear differential equations with piecewise constant argument \[ \dot x(t)=ax(t)+bx([t])+f(t),\qquad \dot x(t)=ax(t)+bx([t])+F(t,x), \quad t\in \mathbb{R}. \] On the base of introducing a new concept of pseudo almost-periodic sequence the authors discuss the existence of a pseudo almost-periodic solution to these ...
Piao, Daxiong, Yuan, Rong
openaire   +2 more sources

The Reduction Principle for Systems with Piecewise Constant Argument

2011
The theory of integral manifolds founded by H. Poincare and A. M. Lyapunov [215, 267] became a very powerful instrument for investigating problems of the qualitative theory of differential equations. Over the past several decades, many researchers have been studying the methods of reducing high dimensional problems to low dimensional ones.
openaire   +1 more source

New Recurrent Solutions to Differential Equations with Piecewise Constant Arguments

Qualitative Theory of Dynamical Systems
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Lin, Dong-Sheng, Chang, Yong-Kui
openaire   +2 more sources

Global stability in a differential equation with piecewisely constant arguments

2001
The author considers a differential equation with piecewise constant arguments of the form \[ N'(t) = r(t)(-\mu N(t) + \sum_{i=0}^{m} P_i\exp{-r_i N([t-i])}), t\geq 0. \] Asymptotic properties of the coefficient \(r(t)\) are used to define sufficient conditions for the global stability of a positive equilibrium.
openaire   +2 more sources

Hyperbolic Equation with Piecewise-Constant Argument of Generalized Type and Solving Boundary Value Problems for It

Lobachevskii Journal of Mathematics, 2022
A T Assanova
exaly  

Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments

2008
openaire   +1 more source

Robust stability analysis of interval fuzzy Cohen–Grossberg neural networks with piecewise constant argument of generalized type

Neural Networks, 2012
Shiping Wen, Zhigang Zeng, Gang Bao
exaly  

Stability analysis of recurrent neural networks with piecewise constant argument of generalized type

Neural Networks, 2010
M U Akhmet, M U Akhmet
exaly  

On the almost automorphy of bounded solutions of differential equations with piecewise constant argument

Journal of Mathematical Analysis and Applications, 2007
Minh Nguyen
exaly