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

Blanka Baculíková

doi:10.3390/sym18040686

April 20, 2026SymmetryOpen Access

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

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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.

Implication

Extends criteria for comparison theorems in third-order differential equations, indicating broader applicability to noncanonical forms.

Abstract

The aim of this paper is to provide a general method for extending the criteria known for a simple canonical equation x′′′(t)+q(t)x(σ(t))=0 to a noncanonical equation of the form r2(t)r1(t)y′(t)′′+p(t)y(τ(t))=0.

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Cite This Study

Blanka Baculíková (2026) studied this question.

synapsesocial.com/papers/69e866616e0dea528ddeac95 https://doi.org/10.3390/sym18040686

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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