Results 261 to 270 of about 5,739,459 (288)

Generalized Hopf Bifurcation for Neutral Functional Differential Equations

International Journal of Bifurcation and Chaos, 2016
Here we employ the Lyapunov–Schmidt procedure to investigate bifurcations in a general neutral functional differential equation (NFDE) when the infinitesimal generator has, for a critical value of the parameter, a pair of nonsemisimple purely imaginary eigenvalues with multiplicity [Formula: see text].
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Impulsive neutral functional differential equations with variable times

Nonlinear Analysis: Theory, Methods & Applications, 2003
The authors investigate the existence of solutions for first- and second-order impulsive neutral functional-differential equations with variable times. The fixed-point theorem due to Schaefer is used.
Benchohra, Mouffak, Ouahab, Abdelghani
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On the dominance of roots of characteristic equations for neutral functional differential equations

Applied Mathematics and Computation, 2009
The author studies a first order linear functional differential equation of neutral type. A sufficient condition for a root of the characteristic equation to be simple and dominant is proved.
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Rotating Waves in Neutral Partial Functional Differential Equations

Journal of Dynamics and Differential Equations, 1999
The local existence and global continuation of rotating waves for partial neutral functional differential equations \[ \frac{\partial }{\partial t}D(\alpha, u_t)=d\frac{\partial^2}{\partial x^2}D(\alpha,u_t)+f(\alpha,u_t)\tag{1} \] defined on the unit circle \(x\in S^1\) is investigated; where \(d>0\) is a given constant; \(D,\;f:\mathbb{R}\times X ...
Wu, J., Xia, H.
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Neutral stochastic functional differential equations with additive perturbations

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miljana Jovanovic, Svetlana Jankovic
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On the existence of periodic solutions for neutral functional differential equation

Nonlinear Analysis: Theory, Methods & Applications, 2003
By using Mawhin's continuation theorem, existence criteria are established for the periodic solutions to a neutral functional-differential equation.
Lu, Shiping, Ge, Weigao
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Stabilization of neutral functional differential equations

Journal of Optimization Theory and Applications, 1976
In this paper, we prove a necessary and sufficient condition for feedback stabilization of neutral functional differential equations.
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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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Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
Mohamed Rhaimá, Lassaad McHiri, Tomáš Caraballo   +2 more
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