Hopf Bifurcation for Implicit Neutral Functional Differential Equations
Canadian Mathematical Bulletin, 1993AbstractAn 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, 2003The 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, 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 of Neutral Type Functional Differential Equations
1992V. Kolmanovskii, A. Myshkis
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Existence results for impulsive neutral functional differential equations with infinite delay
Nonlinear Analysis: Hybrid Systems, 2008A Anguraj, M Mallika Arjunan
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Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations
SIAM Journal of Scientific Computing, 2008Wansheng Wang, Shoufu Li
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Razumikhin-Type Theorems on Stability of Neutral Stochastic Functional Differential Equations
IEEE Transactions on Automatic Control, 2008Lirong Huang, Feiqi Deng
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Existence of solutions for impulsive partial neutral functional differential equations
Journal of Mathematical Analysis and Applications, 2007Eduardo Hernández M +1 more
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On Spectral Method for Volterra Functional Integro-Differential Equations of Neutral Type
Numerical Functional Analysis and Optimization, 2014S Sedaghat +2 more
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