Results 1 to 10 of about 782 (109)

Oscillations for Neutral Functional Differential Equations [PDF]

The Scientific World Journal, 2014
We will consider a class of neutral functional differential equations. Some infinite integral conditions for the oscillation of all solutions are derived. Our results extend and improve some of the previous results in the literature.
Fatima N. Ahmed, Rokiah R. Ahmad, Ummul K. S. Din, Mohd S. M. Noorani   +3 more
doaj   +3 more sources

Impulsive partial neutral differential equations

Applied Mathematics Letters, 2006
The authors establish conditions for the existence of mild and strong solutions of a partial neutral functional-differential equation with unbounded delay of the form \[ (d/dt)(x(t)+F(t, x_t)) = Ax(t)+G(t, x_t) \] subject to pre-assigned moments of impulse effects.
Hernán Henriquez, Eduardo Hernández M
exaly   +4 more sources

Analytical and numerical stability of neutral delay integro-differential equations and neutral delay partial differential equations

Computers and Mathematics With Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shifeng Wu
exaly   +2 more sources

Oscillation of second‐order neutral differential equations [PDF]

Mathematische Nachrichten, 2015
We study oscillatory behavior of a class of second‐order neutral differential equations under the assumptions that allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Illustrative examples are provided.
Tongxing Li, Yuriy Rogovchenko
exaly   +2 more sources

Oscillation of third-order neutral differential equations

Mathematical and Computer Modelling, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B Baculíková, J Dzurina
exaly   +2 more sources

Oscillation theorems for second order neutral differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper new oscillation criteria for the second order neutral differential equations of the form \begin{equation*} \left(r(t)\left[x(t)+p(t)x(\tau(t))\right]'\right)'+q(t)x(\sigma(t))+v(t)x(\eta(t))=0 \tag{$E$}\end{equation*} are presented. Gained
Blanka Baculíková, Tongxing Li, Jozef Džurina   +2 more
doaj   +3 more sources

Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]

Opuscula Mathematica, 2022
This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
doaj   +1 more source

Delay-dependent input-output stability conditions for non-autonomous neutral type differential equations in a Banach space [PDF]

Mathematica Moravica, 2022
In a Banach space we consider a class of linear non-autonomous neutral type differential equations with several delays. For the considered equations we derive explicit delay-dependent input-output stability conditions.
Gil Michael
doaj   +1 more source

Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term

Mathematics, 2021
The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Rongrong Guo, Qingdao Huang, Qingmin Liu
doaj   +1 more source

Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

Mathematics, 2023
Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
doaj   +1 more source