A generalization of Sturm's comparison theorem
Classical Analysis and ODEs
2021-02-11 v3
Abstract
The Riccati equation method is used to establish a new comparison theorem for systems of two linear first order ordinary differential equation. This result is based on a, so called, concept of "null-classes", and is a generalization of Sturm's comparison theorem.
Cite
@article{arxiv.2005.12538,
title = {A generalization of Sturm's comparison theorem},
author = {G. A. Grigorian},
journal= {arXiv preprint arXiv:2005.12538},
year = {2021}
}
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8 pages