Oscillations Of Neutral Differential Equations
, 1991 Abstract A neutral delay differential equation is a differential equation in which the highest-order derivative of the unknown function appears in the equation both with and without delays.
I Györi, G Ladas
openaire +4 more sources
An Asymptotic Result for neutral differential equations [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract We obtain asymptotic result for the solutions of neutral differential equations. Our technique depends on characteristic equations.
openaire +2 more sources
ASYMPTOTIC STABILITY OF A NEUTRAL DIFFERENTIAL EQUATION [PDF]
Proceedings of the Edinburgh Mathematical Society, 2002 AbstractThe uniform stability of the zero solution and the asymptotic behaviour of all solutions of the neutral delay differential equation$$ [x(t)-P(t)x(t-\tau)]'+Q(t)x(t-\sigma)=0,\quad t\ge t_0, $$are investigated, where $\tau,\sigma\in(0,\infty)$, $P\in C([t_0,\infty),\mathbb{R})$, and $Q\in C([t_0,\infty), [0,\infty))$.
Tang, X. H., Zou, Xingfu
openaire +2 more sources
Modified logistic differential equation of neutral type with time delay
Lietuvos Matematikos Rinkinys, 2003 The following differential equation is considered: N(t) = rN [1 +a( 1 − {N(t)}/K)− {N(t − h) + ρN(t − h)}/K]. The stable periodic solution based on the bifurcation theory of that differential equation is constructed.
Donatas Švitra
doaj +5 more sources
Bounded Oscillation of a Forced Nonlinear Neutral Differential Equation
Abstract and Applied Analysis, 2012 This paper is concerned with the nth-order forced nonlinear neutral differential equation [x(t)-p(t)x(τ(t))](n)+∑i=1mqi(t)fi(x(σi1(t)),x(σi2(t)),…,x(σiki(t)))=g(t), t≥t0.
Zeqing Liu +3 more
doaj +1 more source
On Some Novel Results About the Behavior of Some Numerical Solutions of a Neutrosophic Generalized Half – Linear Second Order Differential Equation [PDF]
Neutrosophic Sets and SystemsThe generalized neutrosophic differential equation is a differential equation with neutrosophic real variable x + yI instead of classical real variable x. This research is devoted to studying the oscillation of generalized neutrosophic half linear second
Norah Mousa Alrayes +5 more
doaj +1 more source
Generalized Riesz basis property in the analysis of neutral type systems [PDF]
, 2003 International audienceThe functional differential equation of neutral type is studied. We consider the corresponding operator model in Hilbert space M2 = Cn × L2(−1, 0;Cn) and prove that there exists a sequence of invariant finite-dimensional subspaces ...
Rabah, Rabah +2 more
core +4 more sources
On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]
E-Journal of Analysis and Applied MathematicsSome results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
doaj +1 more source
Oscillation of Third‐Order Neutral Delay Differential Equations [PDF]
Abstract and Applied Analysis, 2012 The purpose of this paper is to examine oscillatory properties of the third‐order neutral delay differential equation [a(t)(b(t)(x(t) + p(t)x(σ(t)))′)′]′ + q(t)x(τ(t)) = 0. Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature.
Li, Tongxing +2 more
openaire +3 more sources
On existence of solutions of a neutral differential equation with deviation argument [PDF]
, 2010 We establish theorems on the existence and asymptotic characterization of solutions of a differential equation of neutral type with deviated argument on neutral type. The mentioned differential equation admits both delayed and advanced arguments.
Olszowy, Leszek
core