Oscillation and nonoscillation criteria for impulsive delay differential equations with Perron integrable righthand sides
Classical Analysis and ODEs
2020-04-07 v1
Abstract
We present new criteria for the existence of oscillatory and nonoscillatory solutions of measure delay differential equations with impulses. We deal with the integral forms of the differential equations using the Perron and the Perron-Stieltjes integrals. Thus the functions involved can have many discontinuities and be of unbounded variation and yet we obtain good results which encompass those in the literature. Examples are given to illustrate the main results.
Keywords
Cite
@article{arxiv.2004.01728,
title = {Oscillation and nonoscillation criteria for impulsive delay differential equations with Perron integrable righthand sides},
author = {M. Ap. Silva and M. Federson and M. C. Gadotti},
journal= {arXiv preprint arXiv:2004.01728},
year = {2020}
}