A simple oscillation criteria for second-order differential equations with piecewise constant argument of generalized type

Fuente: arXiv
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Autor principal: Naranjo, Ricardo Torres
Formato: Preprint
Publicado: 2025
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author Naranjo, Ricardo Torres
author_facet Naranjo, Ricardo Torres
contents This work presents two simple criteria for determining the oscillatory nature of solutions to second-order differential equations with deviated arguments. These criteria extend the (Leighton-Wintner)-type criteria established by G.Q. Wang and S.S. Cheng, considering a generalized piecewise constant argument. Finally, we provide some examples.
format Preprint
id arxiv_https___arxiv_org_abs_2504_04690
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A simple oscillation criteria for second-order differential equations with piecewise constant argument of generalized type
Naranjo, Ricardo Torres
Classical Analysis and ODEs
34A36, 34K11, 34K45, 39A06, 39A21
This work presents two simple criteria for determining the oscillatory nature of solutions to second-order differential equations with deviated arguments. These criteria extend the (Leighton-Wintner)-type criteria established by G.Q. Wang and S.S. Cheng, considering a generalized piecewise constant argument. Finally, we provide some examples.
title A simple oscillation criteria for second-order differential equations with piecewise constant argument of generalized type
topic Classical Analysis and ODEs
34A36, 34K11, 34K45, 39A06, 39A21
url https://arxiv.org/abs/2504.04690