New Results for Oscillatory Behavior of Fourth-Order Differential Equations

被引：19
作者：
El-Nabulsi, Rami Ahmad [1 ,2 ]
Moaaz, Osama [3 ]
Bazighifan, Omar [4 ]
机构：
[1] Athens Inst Educ & Res, Math Div, Athens 10671, Greece
[2] Athens Inst Educ & Res, Phys Div, Athens 10671, Greece
[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[4] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 01期
关键词：
oscillatory solutions; nonoscillatory solutions; fourth-order; delay differential equations; Riccati transformation; comparison theorem; CRITERIA;
D O I：
10.3390/sym12010136
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：
Our aim in the present paper is to employ the Riccatti transformation which differs from those reported in some literature and comparison principles with the second-order differential equations, to establish some new conditions for the oscillation of all solutions of fourth-order differential equations. Moreover, we establish some new criterion for oscillation by using an integral averages condition of Philos-type, also Hille and Nehari-type. Some examples are provided to illustrate the main results.
引用
收藏
页数：12
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