Elsevier

Applied Mathematics Letters

Volume 25, Issue 10, October 2012, Pages 1514-1519
Applied Mathematics Letters

Oscillation criteria for third-order neutral differential equations with continuously distributed delay

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Abstract

The purpose of this paper is to study the oscillation of a certain class of third-order neutral differential equations with continuously distributed delay. By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero.

Keywords

Third-order neutral differential equation
Continuously distributed delay
Oscillatory criterion of Philos-type

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