Numerical Algorithm for Nonlinear Delayed Differential Systems of $n$th Order
, 2019 The purpose of this paper is to propose a semi-analytical technique convenient for numerical approximation of solutions of the initial value problem for $p$-dimensional delayed and neutral differential systems with constant, proportional and time varying
Rebenda, Josef, Šmarda, Zdeněk
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eriodicity and stability in neutral nonlinear differential equations with functional delay
Electronic Journal of Differential Equations, 2005 We study the existence and uniqueness of periodic solutions and the stability of the zero solution of the nonlinear neutral differential equation $$ frac{d}{dt}x(t) = -a(t)x(t)+ frac{d}{dt}Q(t, x(t-g(t))) +G(t,x(t), x(t-g(t))).
oussef M. Dib +2 more
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Stability of neutral equations with constant time delays [PDF]
A method was developed for determining the stability of a scalar neutral equation with constant coefficients and constant time delays. A neutral equation is basically a differential equation in which the highest derivative appears both with and without a
Barker, L. K., Whitesides, J. L.
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Approximation scheme of higher accuracy of differential equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2011 The properties of solution of initial problem for differential-dierence equation of neutral type were researched. An approximate estimate of element delay was specied by scheme ofhigher accuracy.
S. A. Pernay, I. M. Cherevko
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Nonreciprocal wave scattering on nonlinear string-coupled oscillators
, 2014 We study scattering of a periodic wave in a string on two lumped oscillators attached to it. The equations can be represented as a driven (by the incident wave) dissipative (due to radiation losses) system of delay differential equations of neutral type.
Lepri, Stefano, Pikovsky, Arkady
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On the optimal control of a linear neutral differential equation arising in economics [PDF]
In this paper, we apply two optimization methods to solve an optimal control problem of a linear neutral differential equation (NDE) arising in economics. The first one is a variational method, the second follows a dynamic programming approach.
Giorgio Fabbri +2 more
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Estimation of Solutions of Differential Systems with Delayed Argument of Neutral Type [PDF]
, 2012 Tato disertační práce pojednává o řešení diferenciálních rovnic a systémů diferenciálních rovnic. Hlavní pozornost je věnována asymptotickým vlastnostem rovnic se zpožděním a systémů rovnic se zpožděním.
Baštincová, Alena
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Surface Vacuum Energy in Cutoff Models: Pressure Anomaly and Distributional Gravitational Limit
, 2012 Vacuum-energy calculations with ideal reflecting boundaries are plagued by boundary divergences, which presumably correspond to real (but finite) physical effects occurring near the boundary. Our working hypothesis is that the stress tensor for idealized
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On the oscillation of fourth-order canonical differential equation with several delays
AIMS MathematicsThis study is concerned with investigating the oscillatory properties of a general class of neutral differential equations. Neutral equations are characterized by being rich in both practical and theoretical aspects. We obtain criteria that guarantee the
Mohammed Ahmed Alomair, Ali Muhib
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Theory of a general class of dissipative processes [PDF]
General theory of dissipative periodic processes for systems defined by partial, functional, or neutral differential ...
Hale, J. K. +2 more
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