Resumen de Nonlinear Second Order Delay Dynamic Equations on Time Scales: New Oscillatory Criteria

Said R. Grace, G. N. Chhatria, Syed Abbas

• In the paper, we present some new oscillation results for the second order nonlinear delay dynamic equation of the form r(θ )(z(θ ))α + q(θ )zν (ω(θ )) = 0 for θ ∈ T0 = [θ0,∞) ∩ T.

  We derive new monotonic properties of the nonoscillatory solutions and utilizing them to linearize the considered equation. The presented results are verified by some illustrative examples.