Results 271 to 280 of about 20,971 (305)

Positive periodic solutions for neutral functional differential equations

Applied Mathematics Letters, 2020
The present paper applies a fixed point theorem in the cone and some new analysis techniques to establish some sufficient conditions which guarantee the existence of positive periodic solutions for some neutral functional differential equations.
Weibing Wang, Jianhua Shen
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A Neutral Functional Differential Equation of Lurie Type

SIAM Journal on Mathematical Analysis, 1980
The problem of Lurie is posed for systems described by a functional differential equation of neutral type. Sufficient conditions are obtained for absolute stability for the controlled system if it is assumed that the uncontrolled plant equation is uniformly asymptotically stable. Both the direct and indirect control cases are treated.
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Convergence in a system of critical neutral functional differential equations

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoling Zhang, Haijun Hu
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Perturbed Impulsive Neutral Stochastic Functional Differential Equations

Qualitative Theory of Dynamical Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Lijuan, Hu, Lanying, Ren, Yong
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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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Semigroups Generated by a Neutral Functional Differential Equation

SIAM Journal on Mathematical Analysis, 1986
We discuss a number of semigroups generated by neutral functional equations of the form \[ d/dt(x(t)+\mu *x(t))+\nu *x(t)=f(t),\quad t\geq 0,\quad x(t)=\phi (t),\quad t\leq 0. \] They are of extended initial function type and of extended forcing function type, and they differ from each other by the amount of smoothness which is imposed on x and f above.
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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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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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