Oscillatory and asymptotic behavior of advanced differential equations

Advances in Difference Equations

article

Bazighifan, Omar¹  Chatzarakis, George E.³ 

[1] Department of Mathematics, Faculty of Science, Hadhramout University;Department of Mathematics, Faculty of Education, Seiyun University;Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE)

关键词: Oscillation;    Nonoscillatory solutions;    Fourth-order;    Advanced differential equations;   

DOI  :  10.1186/s13662-020-02875-8

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, a class of fourth-order differential equations with advanced type is studied. Applying the generalized Riccati transformation, integral averaging technique and the theory of comparison, a set of new criteria for oscillation or certain asymptotic behavior of solutions of this equations is given. Our results essentially improve and complement some earlier publications. Some examples are presented to demonstrate the main results.

【 授权许可】

CC BY