Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

@inproceedings{Erbe2002OscillationCF,
  title={Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales},
  author={Lynn Erbe and Allan Peterson and Samir H. Saker},
  year={2002}
}
By means of generalized Riccati transformation techniques and generalized exponential functions, we give some oscillation criteria for the nonlinear dynamic equation (p(t)x ∆ (t)) ∆ + q(t)(f • x σ) = 0, on time scales. We also apply our results to linear and nonlinear dynamic equations with damping and obtain some sufficient conditions for oscillation of all solutions.