Results 251 to 260 of about 74,529 (281)

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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Numerical Solution on Neutral Delay Volterra Integro-Differential Equation

Bulletin of the Malaysian Mathematical Sciences Society
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nur Inshirah Naqiah Ismail, Zanariah Abdul Majid   +1 more
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Relative Controllability of Neutral Differential Equations with a Delay

SIAM Journal on Control and Optimization, 2017
The authors investigate the relative controllability of the delay-differential system of neutral type \[ \dot{x}(t) - C\dot{x}(t-\tau) = B x(t-\tau) + b u(t) \] when the matrices \(B\) and \(C\) commute. The fundamental solution of this system is piecewise polynomial; its expression, derived in [\textit{M. Pospíšil} and \textit{L.
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Neutral uncertain delay differential equations

WIT Transactions on Information and Communication Technologies, 2014
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