Oscillation criterion of Kneser type for half-linear second-order dynamic equations with deviating arguments

This paper employed the well-known Riccati transformation method to deduce a Knesertype oscillation criterion for second-order dynamic equations. These results are considered an extension and improvement of the known Kneser results for second-order differential equations and are new for other time scales. We have included examples to highlight the significance of the results we achieved. Keywords: Kneser-type; oscillation; second-order; half-linear; dynamic equation; time scales Mathematics Subject Classification: 39A10, 39A99, 34N05, 34K11