English

Oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations

Classical Analysis and ODEs 2022-12-02 v1

Abstract

The Riccati equation method and an approach of the use of unknown factors is used to establish oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations. A necessary condition for Lyapunov (asymptotic) stability for these systems is obtained.

Keywords

Cite

@article{arxiv.2212.00310,
  title  = {Oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:2212.00310},
  year   = {2022}
}

Comments

10 pages