English

Oscillation criteria for second order two dimensional linear systems of ordinary differential equations

Classical Analysis and ODEs 2021-04-13 v3 Analysis of PDEs

Abstract

Some properties of global solution of scalar Riccati equation are studied. On the basis of these properties using the Whiburn's and Leighton - Nehary's theorems some oscillatory and criteria are proved for second order linear systems of ordinary differential equations.

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Cite

@article{arxiv.1907.10269,
  title  = {Oscillation criteria for second order two dimensional linear systems of ordinary differential equations},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:1907.10269},
  year   = {2021}
}

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19 pages