English

Oscillatory criteria for the hamiltonian systems

Classical Analysis and ODEs 2019-01-16 v1

Abstract

The Riccati equation method is used to establish some new oscillatory criteria for the hamiltonian systems in a new direction, which is to break the positive definiteness restriction imposed on one of coefficients of the hamiltonian system. The obtained results are compared with some known oscillatory criteria.

Cite

@article{arxiv.1901.04714,
  title  = {Oscillatory criteria for the hamiltonian systems},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:1901.04714},
  year   = {2019}
}

Comments

18 pages

R2 v1 2026-06-23T07:12:04.991Z