International Journal of Differential Equations

Conditions for Oscillation of a Neutral Differential Equation

Abstract

For a neutral differential equation with positive and changeable sign coefficients ${[x(t)-a(t)x(\delta (t))]}^{\prime }+p(t)F(x(\tau (t)))-q(t)G(x(\sigma (t)))=0$, oscillation criteria are established, where q(t) is not required as nonnegative. Several new results are obtained.

Article information

Source
Int. J. Differ. Equ., Volume 2010, Special Issue (2010), Article ID 354726, 7 pages.

Dates
Revised: 2 April 2010
Accepted: 13 May 2010
First available in Project Euclid: 26 January 2017

https://projecteuclid.org/euclid.ijde/1485399841

Digital Object Identifier
doi:10.1155/2010/354726

Mathematical Reviews number (MathSciNet)
MR2665189

Zentralblatt MATH identifier
1207.34086

Citation

Yan, Weiping; Yan, Jurang. Conditions for Oscillation of a Neutral Differential Equation. Int. J. Differ. Equ. 2010, Special Issue (2010), Article ID 354726, 7 pages. doi:10.1155/2010/354726. https://projecteuclid.org/euclid.ijde/1485399841

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