二阶拟线性中立型时滞微分方程的振动性

doi:10.3969/j.issn.1005-3085.2020.04.007

Chinese Journal of Engineering Mathematics ›› 2020, Vol. 37 ›› Issue (4): 469-477.doi: 10.3969/j.issn.1005-3085.2020.04.007

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Oscillation of Second Order Quasilinear Neutral Delay Differential Equations

LI Wen-juan^1,2, LI Shu-hai^1,2, TANG Huo^1,2

1- School of Mathematics and Statistics, Chifeng University, Chifeng 024000
2- Institute of Applied Mathematics, Chifeng University, Chifeng 024000

Received:2018-04-02 Accepted:2019-02-18 Online:2020-08-15 Published:2020-10-15
Supported by:
The National Natural Science Foundation of China (11761006; 11762001; 11561001); the Natural Science Foundation of Inner Mongolia (2017MS0113; 2018MS01026); the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (NJYT-18-A14); the Higher School Foundation of Inner Mongolia (NJZY17301).

Abstract

Abstract: In this paper, we mainly study the oscillation of a class of second order quasilinear neutral delay differential equations. By use of the generalized Riccati transformation, integral averaging technique and an inequality due to Hardy-Littlewood-Polya, some new oscillation criteria are established for the equations above. Compare with other existing results, the results extend and improve some known results in the cited literature.

Key words: differential equations, delay, quasilinear, oscillation, second order

CLC Number:

O175.1

LI Wen-juan, LI Shu-hai, TANG Huo. Oscillation of Second Order Quasilinear Neutral Delay Differential Equations[J]. Chinese Journal of Engineering Mathematics, 2020, 37(4): 469-477.

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Oscillation of Second Order Quasilinear Neutral Delay Differential Equations

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