English

Comparison criterion for second order Riccati equations

Classical Analysis and ODEs 2023-11-23 v1

Abstract

Three comparison criteria are obtained for second order Riccati equations. On the basis of these criteria some global existence theorems are proved mentioned equations. The results obtained are used to derive a non oscillation criterion for three dimensional linear systems of ordinary differential equations.

Keywords

Cite

@article{arxiv.2311.13204,
  title  = {Comparison criterion for second order Riccati equations},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:2311.13204},
  year   = {2023}
}

Comments

21 pages

R2 v1 2026-06-28T13:28:16.725Z