New Results for Oscillatory Behavior of Fourth-Order Differential Equations

Symmetry

RamiAhmad El-Nabulsi¹  Omar Bazighifan²  Osama Moaaz³ 

[1] Athens Institute for Education and Research, Mathematics and Physics Divisions, 10671 Athens, Greece;Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen;Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;

关键词: oscillatory solutions;    nonoscillatory solutions;    fourth-order;    delay differential equations;    riccati transformation;    comparison theorem;   

DOI  :  10.3390/sym12010136

来源: DOAJ

【 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.

【 授权许可】

Unknown