English

Oscillation and interval oscillation criteria for linear matrix Hamiltonian systems

Classical Analysis and ODEs 2022-01-13 v4

Abstract

We use the Riccati equation method with other ones to establish new oscillation and interval oscillation criteria for linear matrix Hamiltonian systems. We investigate the oscillation problem for linear matrix Hamiltonian systems in a new direction, which is to break the positive definiteness condition, imposed on one of the coefficients of the system.

Keywords

Cite

@article{arxiv.2003.09123,
  title  = {Oscillation and interval oscillation criteria for linear matrix Hamiltonian systems},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:2003.09123},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-23T14:21:03.583Z