New Oscillation Results of Even-Order Emden-Fowler Neutral Differential Equations

被引：4

作者：

Althubiti, Saeed ^{[1
]}

Aldawish, Ibtisam ^{[2
]}

Awrejcewicz, Jan ^{[3
]}

Bazighifan, Omar ^{[4
]}

机构：

[1] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, At Taif 21944, Saudi Arabia

[2] IMSIU Imam Mohammad Ibn Saud Islam Univ, Coll Sci, Dept Math & Stat, Riyadh 11432, Saudi Arabia

[3] Lodz Univ Technol, Dept Automat Biomechan & Mech, 1-15 Stefanowski St, PL-90924 Lodz, Poland

[4] Int Telemat Univ Uninettuno, Sect Math, CorsoVittorio Emanuele 2 39, I-00186 Rome, Italy

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 11期

关键词：

even-order differential equations; neutral delay; oscillation; DYNAMIC EQUATIONS; CRITERIA; BEHAVIOR;

D O I：

10.3390/sym13112177

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The objective of this study is to establish new sufficient criteria for oscillation of solutions of even-order delay Emden-Fowler differential equations with neutral term riyi+miygin-1 gamma & PRIME;+ n-ary sumation i=1jqiiy gamma mu ii=0. We use Riccati transformation and the comparison with first-order differential inequalities to obtain theses criteria. Moreover, the presented oscillation conditions essentially simplify and extend known criteria in the literature. To show the importance of our results, we provide some examples. Symmetry plays an essential role in determining the correct methods for solutions to differential equations.

引用

页数：9

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