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

Abstract

This paper employed the well-known Riccati transformation method to deduce a Kneser-type 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