Interval oscillation criteria for linear matrix Hamiltonian systems

Gevórg Avágovich Grigorian

doi:10.1216/rmj.2020.50.2047

Abstract

The Riccati equation method is used to establish some new oscillatory criteria for 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 well known ones.

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Gevórg Avágovich Grigorian. "Interval oscillation criteria for linear matrix Hamiltonian systems." Rocky Mountain J. Math. 50 (6) 2047 - 2057, December 2020. https://doi.org/10.1216/rmj.2020.50.2047

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Received: 15 January 2020; Revised: 19 May 2020; Accepted: 20 May 2020; Published: December 2020

First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.2047

Subjects:

Primary: 34C10

Secondary: 34C99

Keywords: conjoined solutions , Hamiltonian systems , least eigenvalue of the Hermitian matrix , nonnegative (positive) definiteness , ‎oscillation‎ , Riccati equation , Trace

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