Theorems of Kiguradze-type and Belohorec-type revisited on time scales

Abstract

This article concerns the oscillation of second-order nonlinear dynamic equations. By using generalized Riccati transformations, Kiguradze-type and Belohorec-type oscillation theorems are obtained on an arbitrary time scale. Our results cover those for differential equations and difference equations, and provide new oscillation criteria for irregular time scales. Some examples are given to illustrate our results.

Keywords

• Superlinear
• sublinear
• time scales
• second order
• oscillation