New Criteria of Oscillation for Linear Sturm–Liouville Delay Noncanonical Dynamic Equations

Abstract

In this work, we deduce a new criterion that guarantees the oscillation of solutions to linear Sturm–Liouville delay noncanonical dynamic equations; these results emulate the criteria of the Hille and Ohriska types for canonical dynamic equations, and these results also solve an open problem in many works in the literature. Several examples are offered, demonstrating that the findings achieved are precise, practical, and adaptable.

Keywords

• oscillation behavior
• linear
• second order
• dynamic equations
• time scales