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

Advances in Difference Equations

article

Chatzarakis, G. E.¹  Moaaz, O.²  Li, T.³  Qaraad, B.² 

[1] Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE);Department of Mathematics, Faculty of Science, Mansoura University;School of Control Science and Engineering, Shandong University;LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University;School of Informatics, Linyi University;Department of Mathematics, Faculty of Science, Saadah University

关键词: Second-order differential equations;    Oscillation theorems;    Advanced argument;   

DOI  :  10.1186/s13662-020-02626-9

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY