Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales

Abstract

In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory solution by employing fixed point theorem.

Keywords

• higher order dynamic equations
• oscillation
• nonoscillation
• Riccati technique
• fixed point theorem