Results 31 to 40 of about 2,013,353 (284)
Existence theorem of periodic solutions for a delay nonlinear differential equation with piecewise constant arguments [PDF]
Existence criteria are proved for the periodic solutions of a first order nonlinear differential equation with piecewise constant ...
Wang, Genqiang, Genqiang Wang
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Stability of numerical solution for partial differential equations with piecewise constant arguments
In this paper, the numerical stability of a partial differential equation with piecewise constant arguments is considered. Firstly, the θ-methods are applied to approximate the original equation.
Qi Wang
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Further results on the robustness of the global exponential stability of recurrent neural network with piecewise constant arguments and neutral terms (NPRNN) subject to uncertain connection weights are presented in this paper. Estimating the upper bounds
Wenxiao Si, Tao Xie, Biwen Li
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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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On periodic solutions of differential equations with piecewise constant argument
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M. U. Akhmet, Cemil Büyükadali
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With a view to the unfavorable impact of the inevitable exogenous interferences for the practical engineering and signal transmission, here we focus on the robustness of global exponential stability for nonlinear dynamical systems subject to piecewise ...
Wen-Xiao Si, Tao Xie, Bi-Wen Li
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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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Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument [PDF]
Existence criteria are derived for the eventually periodic solutions of a class of differential equations with piecewise constant argument whose solutions at consecutive integers satisfy nonlinear recurrence relations. The proof characterizes the initial values of periodic solutions in terms of the coefficients of the resulting difference equations ...
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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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