Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales

الملخص EN

Using functions in some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order dynamic equations with damping on time scales of the form ( r ( t ) ( x Δ ( t ) ) γ ) Δ + p ( t ) ( x Δ ( t ) γ ) + f ( t , x ( g ( t ) ) ) = 0 .

Two examples are included to show the significance of the results.