Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales

Abstract

Abstract In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales by employing Banach spaces and Krasnoselskii’s fixed point theorem. Two examples are given to illustrate the applications of the results.

Keywords

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