This paper provides a method of finding periodical solutions of the second-order neutral delay differential equations with piecewise constant arguments of the form x ″ ( t ) + p x ″ ( t − 1 ) = q x ( 2 [ t + 1 2 ] ) + f ( t ) $x''(t)+px''(t-1)=qx(2[\frac{
Mukhiddin I Muminov
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Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument
This paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing the homeomorphism theory, sufficient conditions for the existence and uniqueness of the equilibrium ...
Wenqing Zheng, Tao Xie, Wenxiang Fang
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Reflection equation with piecewise constant arguments
In this work, we study nonlocal differential equations with particular focus on those with reflection in their argument and piecewise constant dependence. The approach entails deriving the explicit expression of the solution to the linear problem by constructing the corresponding Green's function, as well as developing a novel formula to delineate the ...
Alberto Cabada, Paula Cambeses-Franco
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Oscillation and Attractivity in a Differential Equation with Piecewise Constant Arguments [PDF]
The equation with piecewise constant arguments (1) \(N'(t) = rN(t) [1 - \sum^ m_{j = 0} (a_ j N([t - k_ j]) + b_ j N^ 2([t-k_ j]))]\), in which \([\cdot]\) denotes the greatest integer function, \(r>0\), \(k_ j\) nonnegative integers, \(a_ j\), \(b_ j \geq 0\), \(a_ j + b_ j > 0\), is considered.
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Kneser oscillation theorem for differential equations with piecewise constant argument [PDF]
In the paper oscillatory properties of solutions of a second order differential equation with piecewise constant argument are studied.
Klaczak, Jerzy
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Asymptotic equivalence of differential equations with piecewise constant argument [PDF]
By using the method of investigation of the differential equations with piecewise constant argument and some integral inequalities of Gronwall type we obtain some results of asymptotic equivalence of some differential equations with piecewise constant ...
Na Song +3 more
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Global stability in a population model with piecewise constant arguments
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Gurcan, F., Bozkurt, F.
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Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument
We deal with a nonlinear impulsive differential equation system with piecewise constant argument. We prove the existence and uniqueness of a solution. Moreover, we obtain sufficient conditions for the oscillation of the solution.
Fatma Karakoc +2 more
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Oscillation of nonlinear impulsive differential equations with piecewise constant arguments
Existence and uniqueness of the solutions of a class of first order nonlinear impulsive differential equation with piecewise constant arguments is studied. Moreover, sufficient conditions for the oscillation of the solutions are obtained.
Fatma Karakoc +2 more
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
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