Oscillatory criteria for the second order linear functional - differential equations with locally integrable coefficients
Classical Analysis and ODEs
2018-07-16 v1
Abstract
The Riccati equation method is used to establish some oscillatory criteria for the second order linear functional - differential equations of multiple terms with locally integrable coefficients. An interval oscillation criterion for the second order linear functional - differential equations is proved. We have obtained a generalization of an oscillation theorem of L. Berezanski and E. Braverman, a generalization of the well known Fite's oscillation criterion and a new global solvability criterion for the second order linear functional - differential equations with advanced and retarded arguments.
Cite
@article{arxiv.1807.04943,
title = {Oscillatory criteria for the second order linear functional - differential equations with locally integrable coefficients},
author = {Gevorg Avagovich Grigorian},
journal= {arXiv preprint arXiv:1807.04943},
year = {2018}
}
Comments
18 pages