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Existence, uniqueness and stability of impulsive stochastic neutral functional differential equations driven by Rosenblatt process with varying-time delays

, 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
semanticscholar   +1 more source

Strong stabilization of neutral functional differential equations

IMA Journal of Mathematical Control and Information, 2002
Feedback 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.
openaire   +2 more sources

Numerical Solution of Implicit Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis, 1999
The 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 \(y(t_0)=Y_0\).
openaire   +1 more source

Slowly varying, linear, neutral, functional, differential equations†

International Journal of Control, 1973
Abstract For a slowly varying, linear, neutral, functional, differential equation, a sufficient condition is derived which ensures uniform exponential stability.
openaire   +1 more source

Oscillations of mixed neutral functional differential equations

Applied Mathematics and Computation, 1995
Some 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.
openaire   +2 more sources

Asymptotic behavior of solutions to time fractional neutral functional differential equations

Journal of Computational and Applied Mathematics, 2021
Dongling Wang, A. Xiao, Suzhen Sun
semanticscholar   +1 more source

Introduction to Functional Differential Equations

Applied Mathematical Sciences, 1993
J. Hale, S. Lunel
semanticscholar   +1 more source

Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms

Bulletin of the Malaysian Mathematical Sciences Society, 2021
O. Özdemir, Ayla Kılıç
semanticscholar   +1 more source

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