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An oscillation criteria for third order neutral delay differential equations
-
Zhenlai Han
,
Tongxing Li
Published/Copyright:
November 18, 2010
Abstract
In this paper, we will establish some oscillation criteria for the third-order neutral delay differential equations
(x(t) – a(t)x(τ(t)))‴ + p(t)x(δ(t)) = 0, t ≥ t0.
To the best of our knowledge nothing is known regarding the qualitative behavior of these equations. Our results in this paper extend the results given in [Hanan, Oscillation criteria for third order differential equations, Pacific J. Math. 11 (1961) 919–944]. Some examples are considered to illustrate the main results.
Received: 2009-09-03
Revised: 2010-04-22
Published Online: 2010-11-18
Published in Print: 2010-December
© de Gruyter 2010
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Articles in the same Issue
- On multiobjective nonlinear programming with support functions
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- Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
- Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation
- BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
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