Results 131 to 140 of about 16,431 (159)

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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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.
openaire   +1 more source

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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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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Stability of Cubic Neutral Functional Differential Equations

IFAC Proceedings Volumes, 2004
Abstract For different types of scalar cubic neutral functional differential equations (NFDEs) without linear terms delay-independent and delay —dependent conditions of asymptotic stability are established. All stability conditions are expressed directly in terms of equations coefficients.
V.R. Nosov, J.A. Ortega Herrera, A.E. Rodkina   +2 more
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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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Slowly varying, linear, neutral, functional, differential equations†

International Journal of Control, 1973
Abstract For a slowly varying, linear, neutral, functional, differential equation, a sufficient condition is derived which ensures uniform exponential stability.
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Oscillations of mixed neutral functional differential equations

Applied Mathematics and Computation, 1995
Some sufficient conditions for the oscillation of solutions of mixed neutral functional differential equations of the form \({d^n \over dt^n} (x(t) + cx (t - h) + Cx (t + H)) + qx(t - g) + Qx(t + G) = 0\) where \(c,C,G,h\) and \(H\) are real constants, and \(q\) and \(Q\) are nonnegative real constants, are established.
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Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
Tomas Caraballo, Lassaad Mchiri
exaly  

Stability of Neutral Type Functional Differential Equations

1992
V. Kolmanovskii, A. Myshkis
openaire   +1 more source