Symmetry and Its Importance in the Oscillation of Solutions of Differential Equations

oleh: Ahmed AlGhamdi, Clemente Cesarano, Barakah Almarri, Omar Bazighifan

Format: Article
Diterbitkan: MDPI AG 2021-04-01

Deskripsi

Oscillation and symmetry play an important role in many applications such as engineering, physics, medicine, and vibration in flight. The purpose of this article is to explore the oscillation of fourth-order differential equations with delay arguments. New Kamenev-type oscillatory properties are established, which are based on a suitable Riccati method to reduce the main equation into a first-order inequality. Our new results extend and simplify existing results in the previous studies. Examples are presented in order to clarify the main results.