Results 261 to 270 of about 203,110 (287)

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.
openaire   +2 more sources

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.
openaire   +3 more sources

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.
openaire   +1 more source

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 \(y(t_0)=Y_0\).
openaire   +1 more source

Stability of Neutral Type Functional Differential Equations

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

The variational iteration method for solving a neutral functional-differential equation with proportional delays

Computers and Mathematics With Applications, 2010
Linjun Wang
exaly  

Existence of periodic solutions for a kind of second-order neutral functional differential equation

Applied Mathematics and Computation, 2004
Shiping Lu
exaly  

On the existence of periodic solutions for a kind of high-order neutral functional differential equation

Journal of Mathematical Analysis and Applications, 2007
Shiping Lu
exaly  

On the existence of positive periodic solutions for neutral functional differential equation with multiple deviating arguments

Journal of Mathematical Analysis and Applications, 2003
Shiping Lu
exaly  

Problems of Periodic Solutions for a Kind of Second Order Neutral Functional Differential Equation

Applicable Analysis, 2003
Shiping Lu, Jingli Ren
exaly