New Oscillation Criteria for Advanced Differential Equations of Fourth Order

被引：45

作者：

Bazighifan, Omar ^{[1
,2
]}

Ahmad, Hijaz ^{[3
]}

Yao, Shao-Wen ^{[4
]}

机构：

[1] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen

[2] Seiyun Univ, Fac Educ, Dept Math, Hadhramout 50512, Yemen

[3] Univ Engn & Technol, Dept Basic Sci, Peshawar 25000, Pakistan

[4] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

MATHEMATICS | 2020年 / 8卷 / 05期

基金：

中国国家自然科学基金;

关键词：

advanced differential equations; oscillations; Riccati transformations; fourth-order delay equations; BEHAVIOR; THEOREMS;

D O I：

10.3390/math8050728

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main objective of this paper is to establish new oscillation results of solutions to a class of fourth-order advanced differential equations with delayed arguments. The key idea of our approach is to use the Riccati transformation and the theory of comparison with first and second-order delay equations. Four examples are provided to illustrate the main results.

引用

页数：10

共 31 条

[1]

Agarwal RP, 2004, MATH COMPUT MODEL, V39, P1185, DOI 10.1016/j.mcm2002.11.003

[2] Oscillation criteria for second-order retarded differential equations [J].