Existence of nonoscillatory solutions tending to zero of third-order neutral dynamic equations on time scales

Abstract

Abstract We study the existence of nonoscillatory solutions tending to zero of a class of third-order nonlinear neutral dynamic equations on time scales by employing Krasnoselskii’s fixed point theorem. Two examples are given to illustrate the significance of the conclusions.

Keywords

• Nonoscillatory solution
• Neutral dynamic equation
• Third-order
• Time scale