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

Abstract

Abstract In this paper, a class of fourth-order nonlinear neutral dynamic equations on time scales is investigated. We obtain some sufficient conditions for the existence of nonoscillatory solutions tending to zero with some characteristics of the equations by Krasnoselskii’s fixed point theorem. Finally, two interesting examples are presented to show the significance of the results.

Keywords

• Nonoscillatory solution
• Tending to zero
• Fourth-order
• Neutral dynamic equation
• Time scale