Oscillatory Properties of Fourth-Order Advanced Differential Equations

Abstract

This paper presents a study on the oscillatory behavior of solutions to fourth-order advanced differential equations involving p-Laplacian-like operator. We obtain oscillation criteria using techniques from first and second-order delay differential equations. The results of this work contribute to a deeper understanding of fourth-order differential equations and their connections to various branches of mathematics and practical sciences. The findings emphasize the importance of continued research in this area.

Keywords

• oscillatory behavior
• <i>p</i>-Laplace operator
• fourth-order equation
• advanced differential equations