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

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