Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales

الملخص EN

We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form r 1 t r 2 t x Δ t γ Δ Δ + f t , x t , x σ t , x g t , x Δ t = 0 by employing functions in some function classes and the generalized Riccati transformation.

Two examples are given to show the significance of the conclusions.