Neutral functional differential equation

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Hopf Bifurcation for Implicit Neutral Functional Differential Equations

Canadian Mathematical Bulletin, 1993
AbstractAn analog of the Hopf bifurcation theorem is proved for implicit neutral functional differential equations of the form F(xt, D′(xt, α), α) = 0. The proof is based on the method of S1-degree of convex-valued mappings. Examples illustrating the theorem are provided.
Kaczynski, Tomasz, Xia, Huaxing
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Convergence of the spline function for functional-differential equation of neutral type

International Journal of Computer Mathematics, 2003
The existence, uniqueness and stability for the functional-differential equation of neutral type using spline of deficiency 3 with stepsize 3h spline function of degree four are presented in Ref. [1]. In this paper, we extend the study to the convergence of our proposed spline method.
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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 \(y(t_0)=Y_0\).
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Stability of Neutral Type Functional Differential Equations

1992
V. Kolmanovskii, A. Myshkis
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The variational iteration method for solving a neutral functional-differential equation with proportional delays

Computers and Mathematics With Applications, 2010
Linjun Wang
exaly

Existence of periodic solutions for a kind of second-order neutral functional differential equation

Applied Mathematics and Computation, 2004
Shiping Lu
exaly

An approximate solution for a neutral functional–differential equation with proportional delays

Applied Mathematics and Computation, 2015
Qingpu Zhang
exaly

Problems of Periodic Solutions for a Kind of Second Order Neutral Functional Differential Equation

Applicable Analysis, 2003
Shiping Lu, Jingli Ren
exaly

Periodic solutions for a fourth-order p-Laplacian neutral functional differential equation

Journal of the Franklin Institute, 2010
Yanling Zhu
exaly