Results 261 to 270 of about 5,961,166 (286)

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.
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +2 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

Stability of Neutral Type Functional Differential Equations

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

EXISTENCE AND EXPONENTIAL STABILITY OF MILD SOLUTIONS FOR SECOND-ORDER NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATION WITH RANDOM IMPULSES

Journal of Applied Analysis and Computation, 2021
Xiao-Bao Shu
exaly  

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 positive periodic solutions for neutral functional differential equation with multiple deviating arguments

Journal of Mathematical Analysis and Applications, 2003
Shiping Lu
exaly