Property (A) of Third-Order Differential Equations as a Consequence of Comparison Theorems

Key Points

• The central aim is to develop a method to extend existing criteria for canonical third-order differential equations to noncanonical forms.
• Developed a general method for translating criteria from canonical to noncanonical equations.
• Investigated the structure of third-order differential equations and their properties under comparison theorems.
• Established a framework for applying known criteria to a wider class of differential equations.
• Demonstrated that noncanonical equations can inherit properties from their canonical counterparts.