English

On the stability of systems of two linear first-order ordinary differential equations

Classical Analysis and ODEs 2020-06-05 v1

Abstract

The Riccati equation method is used to establish some new stability criteria for systems of two linear first-order ordinary differential equations. It is shown that two of these criteria in the two dimensional case imply the Routh - Hurwitz's criterion.

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Cite

@article{arxiv.2006.02661,
  title  = {On the stability of systems of two linear first-order ordinary differential equations},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:2006.02661},
  year   = {2020}
}

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14 pages