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

2025/04/07 by Naranjo, Ricardo Torres
Mathematics · #34A36 #34K11 #34K45 #39A06 #39A21 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fixed Point Theorems Analysis #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2504.04690

openalex publication_date 2025/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• On oscillations of nonautonomous linear impulsive differential equations with general piecewise constant deviating arguments
• Oscillatory criteria for the second order linear ordinary differential equations in the marginal sub extremal and extremal cases
• Oscillation criteria for second order two dimensional linear systems of ordinary differential equations
• On the Oscillations of Second Order Linear Differential Equations
• New oscillation criteria for third-order half-linear advanced differential equations