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

We present 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 Wang and Cheng, considering a generalized piecewise constant argument. Finally, we provide some examples.

Authors

Publication Details

Journal
Bulletin of the Belgian Mathematical Society - Simon Stevin
Published
2025-07-16
DOI
https://doi.org/10.36045/j.bbms.250420
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Ricardo Torres
Bulletin of the Belgian Mathematical Society - Simon Stevin
Differential Equations and Numerical Methods
article

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

Ricardo Torres
article en

Abstract

We present 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 Wang and Cheng, considering a generalized piecewise constant argument. Finally, we provide some examples.

Bulletin of the Belgian Mathematical Society - Simon StevinVol. 32(2)
Openalex Percentile: Top 74%
Differential Equations and Numerical Methods
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A simple oscillation criteria for second-order differential equations with piecewise constant argument of generalized type — Ricardo Torres · Bulletin of the Belgian Mathematical Society - Simon Stevin (2025) | TGRS Research Map | TGRS