Nonoscillation Criteria for Two-Dimensional Time-Scale Systems

Abstract

We study the existence and nonexistence of nonoscillatory solutions of a two-dimensional systemof first-order dynamic equations on time scales. Our approach is based on the Knaster and Schauder fixed point theorems and some certain integral conditions. Examples are given to illustrate some of our main results.

Keywords

• Time-scale systems
• Nonoscillation
• Dynamic Equations