English

Iterative oscillation tests for differential equations with several non-monotone arguments

Dynamical Systems 2019-02-25 v1

Abstract

Sufficient oscillation conditions involving lim sup\limsup and lim inf\liminf for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Gr\"{o}nwall inequality. Examples illustrating the significance of the results are also given.

Keywords

Cite

@article{arxiv.1902.08240,
  title  = {Iterative oscillation tests for differential equations with several non-monotone arguments},
  author = {Elena Braverman and George E. Chatzarakis and Ioannis P. Stavroulakis},
  journal= {arXiv preprint arXiv:1902.08240},
  year   = {2019}
}

Comments

The paper was originally open access. The purpose of this publication is correct the original mistake that occurred in Theorems 6 and 10 (in particular, the variables under the integral in (2.11) and (2.27)) in the published paper

R2 v1 2026-06-23T07:47:36.297Z