Results 251 to 260 of about 104,422 (284)

Galerkin Approximations for Neutral Delay Differential Equations

Journal of Computational and Nonlinear Dynamics, 2012
In this work, Galerkin approximations are developed for a system of first order nonlinear neutral delay differential equations (NDDEs). The NDDEs are converted into an equivalent system of hyperbolic partial differential equations (PDEs) along with the nonlinear boundary constraints.
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On state-dependent delay partial neutral functional–differential equations

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hernandez M., Eduardo, McKibben, Mark A.
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A Linearized Oscillation Result for Neutral Delay Differential Equations

Mathematische Nachrichten, 1993
AbstractWe consider the first order nonlinear neutral delay differential equationequation imageand establish a linearized oscillation result of Eq. (1) whenP(t)≥ 1, which answers partially an open problem proposed by GYÖRI and LADAS.
Yu, Jianshe, Wang, Zhicheng
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MONOTONE ITERATIVE TECHNIQUE FOR NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 1998
The authors study the existence of minimal and maximal solutions to a class of nonlinear neutral delay differential equations. By using the method of upper and lower solutions, monotone sequences are constructed and shown to converge to the extremal solutions to an initial value problem.
Jiang, Ziwen, Zhuang, Wan
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Convergence in a neutral delay differential equation

Applicable Analysis, 1991
By using some facts from limiting equations theory we prove that the solution x(.;ϕ), with continuous initial condition ϕ, of the neutral functional differential equation [x(t)-cx(t-r)]' =-F(x(t))+F(x(t-r)), t>0, where c e [0,1), r≧0 and F is (not necessarily strictly) increasing.
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Stability of linear neutral delay differential equations

IFAC Proceedings Volumes, 2000
Abstract In this paper we consider linear neutral delay differential equations to derive efficient numerical schemes with good stability properties. The basic idea is to reformulate the original problem in order to eliminate the dependence on the derivative of the solution in the past values.
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On oscillation of neutral delay differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1998
The author considers the neutral odd-order delay differential equation \[ (x(t)-px(t-\tau))^{(n)}+ \sum_{i=1}^{m}p_ix(t-\sigma_i)=0,\tag{1} \] where \(p\in[0,1)\) and \(\tau,\;p_i,\;\sigma_i\in (0,\infty)\) are constants. The main results of the paper are sufficient conditions for the oscillation of all solutions to (1) which extend some results due to
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Oscillation of First Order Neutral Differential Equations with Delay

Differential Equations and Dynamical Systems, 2020
In this paper, the author studies a class of first order neutral delay differential equations and investigates sufficient conditions for all solutions to be oscillatory. This result solves an open problem in the literature. In this paper, the author treats the following neutral delay differential equation \[ [x(t)-x(\tau(t))]'+Q(t)x(\sigma(t))=0 \] for
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Oscillatory theorems for second-order neutral delay differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1996
Some new oscillation criteria for second-order neutral delay differential equation of the type \([x(t)+ p(t) x(t- \tau)]''+ q(t) f(x(t- \sigma))= 0\), \(t\geq t_0\), are establish, where \(\tau\) and \(\sigma\) are nonnegative constants \(p, q\in C([t_0, \infty); \mathbb{R})\), \(f\in C(\mathbb{R}; \mathbb{R})\), \(0\leq p\leq 1\), \(q(t)\geq 0\), \(f ...
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Analysis methods for neutral delay differential equations

2019
Bahia ...
Itovich, Griselda Rut, Gentile, Franco Sebastián, Moiola, Jorge Luis   +2 more
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