Results 1 to 10 of about 6,047,709 (255)

Oscillations for Neutral Functional Differential Equations [PDF]

open access: yesThe 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   +3 more
doaj   +3 more sources

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

open access: yesOpuscula 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

Analysis of stochastic neutral fractional functional differential equations

open access: yesBoundary Value Problems, 2022
This work deals with the large deviation principle which studies the decay of probabilities of certain kind of extremely rare events. We consider stochastic neutral fractional functional differential equation with multiplicative noise and show large ...
Alagesan Siva Ranjani   +3 more
doaj   +1 more source

Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations

open access: yesMathematics, 2022
This paper focuses on the problem of the pth moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations (INSFDEs).
Yunfeng Li, Pei Cheng, Zheng Wu
doaj   +1 more source

A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations

open access: yesJournal of Inequalities and Applications, 2010
This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential
Wansheng Wang
doaj   +2 more sources

Stability results for the functional differential equations associated to water hammer in hydraulics

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
doaj   +1 more source

On solutions of differential-functional equations of neutral type

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
We obtain sufficient conditions for existence of continuously differentiable solutions of differential-functional equations of neutral type with linear deviations of the argument bounded on $t \in \mathbb{R}^{-}$.
R. I. Kachurivsky
doaj   +1 more source

Stability of Nonlinear Neutral Stochastic Functional Differential Equations

open access: yesJournal of Applied Mathematics, 2010
Neutral stochastic functional differential equations (NSFDEs) have recently been studied intensively. The well-known conditions imposed for the existence and uniqueness and exponential stability of the global solution are the local Lipschitz condition ...
Minggao Xue, Shaobo Zhou, Shigeng Hu
doaj   +1 more source

Oscillation in neutral partial functional differential equations and inequalities

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 1998
We derive some sufficient conditions for certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions.
X. Fu, Jianhong Wu
doaj   +1 more source

Stability Behaviour in Functional Differential Equations of the Neutral Type

open access: yesUniversal Journal of Mathematics and Applications, 2021
In this study, we examine the behavior of solutions of the neutral functional differential equations. Using a suitable real root of the corresponding characteristic equation, the asymptotic behavior of the solutions and the stability of the trivial ...
Ali Fuat Yeniçerioğlu   +2 more
doaj   +1 more source

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