Results 281 to 290 of about 20,971 (305)

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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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.
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Neutral stochastic functional differential equations with additive perturbations

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miljana Jovanovic, Svetlana Jankovic
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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 \(y(t_0)=Y_0\).
openaire   +1 more source

Stability of Neutral Type Functional Differential Equations

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

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
Tomáš Caraballo, Lassaad Mchiri
exaly  

Existence results for impulsive neutral functional differential equations with infinite delay

Nonlinear Analysis: Hybrid Systems, 2008
A Anguraj, M Mallika Arjunan
exaly  

Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations

SIAM Journal of Scientific Computing, 2008
Wansheng Wang, Shoufu Li
exaly  

Razumikhin-Type Theorems on Stability of Neutral Stochastic Functional Differential Equations

IEEE Transactions on Automatic Control, 2008
Lirong Huang, Feiqi Deng
exaly