A remark on Philos-type oscillation criteria for differential equations

Sugie Jitsuro: A remark on Philos-type oscillation criteria for differential equations. (2020)

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Abstract

The purpose of this short note is to call attention to expressions of Philostype criteria for the oscillation of solutions of a simple differential equation. A perfect square expression is used to obtain an evaluation that plays an essential role in the proof of Philos-type oscillation theorems. The required condition is pointed out when using the perfect square expression. To simplify the discussion, here we deal with two second-order linear differential equations, but its content is also applied to a variety of equations.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2020
Number: 18
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.18
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: 7. p. ; összefoglalás angol nyelven
Date Deposited: 2020. Jun. 08. 09:07
Last Modified: 2021. Oct. 20. 13:52
URI: http://acta.bibl.u-szeged.hu/id/eprint/69522

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