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arXiv · 2504.04690

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

Ricardo Torres Naranjo
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Abstract

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.

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Ricardo Torres Naranjo. 2025-04-07. A simple oscillation criteria for second-order differential equations with piecewise constant argument of generalized type. https://arxiv.org/abs/2504.04690

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