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Items for "neutral differential equation"

Oscillation of first order neutral differential equations of Euler form

In this paper, we investigate the first order neutral differential equation of Euler form with variable unbounded delay


d/dt(x(t)-cx(αt))+1/t∑i=1npix(βi t)=0, t ≥ t0 > 0, (*)


where 0 ≤ c < 1, 0 < α < 1, 0 < βi < 1 and pi > 0 are constants, i=1,2,…,n...

Keywords: oscillation, neutral differential equation, variable unbounded delay, Euler form

01/2007 | Analysis, Oldenbourg Wissenschaftsverlag
Oscillation of certain even-order neutral differential equations with distributed delay and damping term

In this paper, we investigate the oscillation of certain even-order neutral differential equations with distributed delay and damping term, and obtain several classes of sufficient conditions for the oscillation of all of its solutions, which generalize some known results...

Keywords: neutral differential equation, distributed delay, damping term, oscillation

04/2007 | Analysis, Oldenbourg Wissenschaftsverlag