Some oscillation theorems for nonlinear second-order differential equations with an advanced argument

被引：52

作者：

Chatzarakis, G. E. ^{[1
]}

Moaaz, O. ^{[2
]}

Li, T. ^{[3
,4
,5
]}

Qaraad, B. ^{[2
,6
]}

机构：

[1] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educ, Athens, Greece

[2] Mansoura Univ, Dept Math, Fac Sci, Mansoura, Egypt

[3] Shandong Univ, Sch Control Sci & Engn, Jinan, Peoples R China

[4] Linyi Univ, LinDa Inst, Shandong Prov Key Lab Network Based Intelligent C, Linyi, Shandong, Peoples R China

[5] Linyi Univ, Sch Informat, Linyi, Shandong, Peoples R China

[6] Saadah Univ, Fac Sci, Dept Math, Saadah, Yemen

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Second-order differential equations; Oscillation theorems; Advanced argument; 34C10; 34K11; CRITERIA; BEHAVIOR;

D O I：

10.1186/s13662-020-02626-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective in this work is to study oscillation criteria for second-order quasi-linear differential equations with an advanced argument. We establish new oscillation criteria using both the comparison technique with first-order advanced differential inequalities and the Riccati transformation. The established criteria improve, simplify and complement results that have been published recently in the literature. We illustrate the results by an example.

引用

页数：17

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