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, 2019
Hermite processes are self-similar processes with stationary increments; the Hermite process of order 1 is fractional Brownian motion (fBm) and the Hermite process of order 2 is the Rosenblatt process.
E. Lakhel, A. Tlidi
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Hermite processes are self-similar processes with stationary increments; the Hermite process of order 1 is fractional Brownian motion (fBm) and the Hermite process of order 2 is the Rosenblatt process.
E. Lakhel, A. Tlidi
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Strong stabilization of neutral functional differential equations
IMA Journal of Mathematical Control and Information, 2002Feedback stabilization of a particular type of neutral ordinary differential equations (ODEs) with constant delays is studied by an abstract method, claimed to be `unifying'. In the systems in question, the velocity depends on the past velocity and on external inputs. It depends neither on the past acceleration nor on any constraint.
Hale, Jack K., Verduyn Lunel, Sjoerd M.
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Numerical Solution of Implicit Neutral Functional Differential Equations
SIAM Journal on Numerical Analysis, 1999The paper is concerned with the solution of the implicit neutral functional differential equation \[ [y(t)-g(t,y(\varphi(t)))]'=f_0(t,y(t),y(\varphi(t))),\quad t\geq t_0, \] where \(f_0,\;g\) and \(\varphi\) are given functions with \(\varphi(t)\leq t\) for \(t\geq t_0\), endowed with the initial condition \(y(t_0)=Y_0\).
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Stability in System of Impulsive Neutral Functional Differential Equations
, 2021M. Mesmouli
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Slowly varying, linear, neutral, functional, differential equations†
International Journal of Control, 1973Abstract For a slowly varying, linear, neutral, functional, differential equation, a sufficient condition is derived which ensures uniform exponential stability.
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Oscillations of mixed neutral functional differential equations
Applied Mathematics and Computation, 1995Some sufficient conditions for the oscillation of solutions of mixed neutral functional differential equations of the form \({d^n \over dt^n} (x(t) + cx (t - h) + Cx (t + H)) + qx(t - g) + Qx(t + G) = 0\) where \(c,C,G,h\) and \(H\) are real constants, and \(q\) and \(Q\) are nonnegative real constants, are established.
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Asymptotic behavior of solutions to time fractional neutral functional differential equations
Journal of Computational and Applied Mathematics, 2021Dongling Wang, A. Xiao, Suzhen Sun
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Introduction to Functional Differential Equations
Applied Mathematical Sciences, 1993J. Hale, S. Lunel
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Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms
Bulletin of the Malaysian Mathematical Sciences Society, 2021O. Özdemir, Ayla Kılıç
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