Results 41 to 50 of about 367,267 (190)

On the oscillation of neutral differential equations

Journal of Mathematical Analysis and Applications, 1992
Using the method of the Laplace transform it is shown that all solutions of the neutral differential equation \[ {d\over dt}\left[x(t)+\delta\int^{\tau_ 2}_{\tau_ 1}x(t+s)d\mu(s)\right]+\int^{\sigma_ 2}_ {\sigma_ 1}x(t+s)d\eta(s)=0 \] are oscillatory if and only if the characteristic equation \[ \lambda\left[1+\delta\int^{\tau_ 2}_{\tau_ 1}e^{\lambda s}
Philos, C. G., Sficas, Y. G.
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Minimizers with discontinuous velocities for the electromagnetic variational method

, 2011
The electromagnetic two-body problem has \emph{neutral differential delay} equations of motion that, for generic boundary data, can have solutions with \emph{discontinuous} derivatives. If one wants to use these neutral differential delay equations with \
A. Bellen, D. Colton, E. Nelson, F. Hoyle, J. D. Jackson, Jayme De Luca, O. Diekman   +6 more
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Oscillations of Higher Order Neutral Differential Equations

Rocky Mountain Journal of Mathematics, 1995
Consider linear neutral differential equations of odd order in the form \[ [x(t)- P(t) x(t-\tau)]^{(n)}+ Q(t) x(t-\sigma(t))= 0,\tag{1} \] where \(n\geq 1\), \(\tau> 0\), \(P\), \(Q\), \(\sigma\in C([t_0, \infty),\mathbb{R}^+)\) and \(\lim_{t\to \infty} (t- \sigma(t))= \infty\).
Zhang, B.G., Yu, J.S., Wang, Z.C.
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Oscillatory behavior of second-order nonlinear neutral differential equations

Advances in Difference Equations, 2020
We shall consider a class of second-order nonlinear neutral differential equations. Some new oscillation criteria are established by using the Riccati transformation technique. One example is given to show the applicability of the main results.
Jun Liu, Xi Liu, Yuanhong Yu
doaj   +1 more source

Stability of Neutral Delay Differential Equations and Their Discretizations [PDF]

, 2014
Disertační práce se zabývá asymptotickou stabilitou zpožděných diferenciálních rovnic a jejich diskretizací. V práci jsou uvažovány lineární zpožděné diferenciální rovnice s~konstantním i neohraničeným zpožděním.
Dražková, Jana
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A nonlinear neutral periodic differential equation

Electronic Journal of Differential Equations, 2010
In this article we consider the existence, uniqueness and positivity of a first order non-linear periodic differential equation. The main tool employed is the Krasnosel'skii's fixed point theorem for the sum of a completely continuous operator and a ...
Eric R. Kaufmann
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Oscillatory behaviour of a class of second order Emden-Fowler differential equations with a sublinear neutral term

Applied Mathematics in Science and Engineering, 2023
This article is dedicated to the oscillatory properties of a second order Emden-Fowler delay differential equation with a sublinear neutral term. The presented criteria extend and improve several well-known results reported recently in the literature ...
Yingzhu Wu, Yuanhong Yu, Jinsen Xiao, Zhan Jiao   +3 more
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Some Oscillatory Results of Nonlinear Neutral Differential Equation

Ibn Al-Haitham Journal for Pure and Applied Sciences
In the last decades, functional differential equations have attracted the attention of many researchers; they were interested in the theory and its applications.
Zahrah Abdul abbas Hussein , Aqeel Falih Jaddoa   +1 more
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Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation [PDF]

Opuscula Mathematica, 2017
This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are
John R. Graef, Ercan Tunҫ, Said R. Grace   +2 more
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Existence of nonoscillatory solutions of second-order neutral differential equations

Cumhuriyet Science Journal, 2021
In this study we shall obtain some sufficient conditions for the existence of positive solutions of variable coefficient nonlinear second-order neutral differential equation with distributed deviating arguments. For some different cases of the range of p(
M. Tamer Senel, Bengü Çına
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