English

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

Classical Analysis and ODEs 2025-05-08 v3

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.

Keywords

Cite

@article{arxiv.2504.04690,
  title  = {A simple oscillation criteria for second-order differential equations with piecewise constant argument of generalized type},
  author = {Ricardo Torres Naranjo},
  journal= {arXiv preprint arXiv:2504.04690},
  year   = {2025}
}

Comments

13 pages, 2 figures