New Iterative Criteria for Oscillation and Asymptotic Properties of Second-Order Advanced Differential Equations

Key Points

• This research aims to establish new criteria for the oscillation of advanced differential equations to enhance understanding of their behavior over time.
• Developed new oscillation criteria for a class of nonlinear second-order differential equations with advanced arguments.
• Utilized an iterative approach to derive sufficient conditions for oscillation.
• Supported findings with Euler-type equations and numerical examples.
• Established sufficient conditions that ensure oscillation for all solutions of the specified equations.
• Extended existing results while reducing restrictions on coefficients.
• Demonstrated the criteria's applicability through numerical examples.

Abstract