December 2023 A GENERALIZATION OF STURM’S COMPARISON THEOREM
Gevorg A. Grigorian
Rocky Mountain J. Math. 53(6): 1807-1815 (December 2023). DOI: 10.1216/rmj.2023.53.1807

Abstract

The Riccati equation method is used to establish a new comparison theorem for systems of two linear first-order ordinary differential equation. This result is based on the concept of “null-classes”, and is a generalization of Sturm’s comparison theorem.

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Gevorg A. Grigorian. "A GENERALIZATION OF STURM’S COMPARISON THEOREM." Rocky Mountain J. Math. 53 (6) 1807 - 1815, December 2023. https://doi.org/10.1216/rmj.2023.53.1807

Information

Received: 25 November 2021; Revised: 27 July 2022; Accepted: 27 July 2022; Published: December 2023
First available in Project Euclid: 21 December 2023

MathSciNet: MR4682743
zbMATH: 07784575
Digital Object Identifier: 10.1216/rmj.2023.53.1807

Subjects:
Primary: 34C10
Secondary: 34C99

Keywords: Linear systems , null-classes , null-elements , Riccati equation , Sturm’s comparison theorem , Sturm’s majorant (minorant)

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

Vol.53 • No. 6 • December 2023
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