Criteria for oscillation of noncanonical superlinear half-linear dynamic equations

Abstract

Abstract This article comes up with criteria to make sure that the solutions to superlinear, half-linear, and noncanonical dynamic equations oscillate in both advanced and delayed cases; these criteria are comparable to the Hille-type and Ohriska-type criteria for the canonical nonlinear dynamic equations; and also these results solve an open problem in many existing works in the literature on dynamic equations. To demonstrate the importance of the results, some examples have been introduced.

Keywords

• Oscillation behavior
• Second-order
• Nonlinear
• Dynamic equation
• Time scales