Results 251 to 260 of about 131,246 (280)

Analytical and numerical dissipativity of neutral functional differential equations

Applied Mathematics Letters, 2020
In this paper, the authors investigate analytic and numerical dissipativity for a class of nonlinear neutral functional differential equations. By applying existing continuous Halanay-type inequality, the dissipativity result of the equations is given.
Haiyang Wen, Shi Shu, Liping Wen
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Neutral Functional Differential Equations

1999
The present chapter contains some remarks and ideas concerning application of i—smooth calculus to functional differential equations of neutral type. Taking into account essential features of neutral functional differential equations (NFDE) subsequent elaboration of these aspects requires additional investigating properties of invariant differentiable ...
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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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Application of spline functions to neutral delay-differential equations

International Journal of Computer Mathematics, 1996
The spline method of Loscalzo [1] is adapted to the neutral delay-differential equations (NDDES). The resulting method enables us to construct an approximate spline solution for the (NDDES). The existence and uniqueness of the approximate spline solution are investigated. Numerical experiments and comparisons with other methods are given.
M. A.-K. Ibrahim, A. El-Safty, Shadia M. Abo-Hasha   +2 more
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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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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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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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Dynamical equivalence of differential-functional equations of neutral type

Ukrainian Mathematical Journal, 1985
Conditions are given for dynamic equivalence [see \textit{J. K. Hale}, J. Differ. Equations 10, 59-82 (1971; Zbl 0223.34057)] of two autonomous functional-differential equations of neutral type, the first of which is nonlinear while the second one is linear.
Klevchuk, I. I., Fodchuk, V. I.
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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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