Asymptotic behavior of a third-order nonlinear neutral delay differential equationReport as inadecuate




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Journal of Inequalities and Applications

, 2014:512

Proceedings of the International Congress in Honour of Professor Ravi P. Agarwal

Abstract

The objective of this paper is to study asymptotic nature of a class of third-order neutral delay differential equations. By using a generalized Riccati substitution and the integral averaging technique, a new Philos-type criterion is obtained which ensures that every solution of the studied equation is either oscillatory or converges to zero. An illustrative example is included.

MSC: 34K11.

Keywordsasymptotic behavior third-order neutral differential equation oscillation generalized Riccati substitution  Download fulltext PDF



Author: Ying Jiang - Tongxing Li

Source: https://link.springer.com/



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