Oscillation criteria for extended linear matrix Hamiltonian systems

Fuente: arXiv
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Autor principal: Grigorian, G. A.
Formato: Preprint
Publicado: 2024
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author Grigorian, G. A.
author_facet Grigorian, G. A.
contents The Riccati equation method is used to establish new oscillation criteria for extended linear matrix Hamiltonian systems. This method allows to obtain results in in a new direction, which is to break the positive definiteness condition, imposed on one of coefficients of the system. Some examples are provided for comparing the obtained results with each other and with the result of K. I. Al - Dosary, H. Kh. Abdullah and D. Husein.
format Preprint
id arxiv_https___arxiv_org_abs_2409_12563
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Oscillation criteria for extended linear matrix Hamiltonian systems
Grigorian, G. A.
Classical Analysis and ODEs
F.2.2; I.2.7
The Riccati equation method is used to establish new oscillation criteria for extended linear matrix Hamiltonian systems. This method allows to obtain results in in a new direction, which is to break the positive definiteness condition, imposed on one of coefficients of the system. Some examples are provided for comparing the obtained results with each other and with the result of K. I. Al - Dosary, H. Kh. Abdullah and D. Husein.
title Oscillation criteria for extended linear matrix Hamiltonian systems
topic Classical Analysis and ODEs
F.2.2; I.2.7
url https://arxiv.org/abs/2409.12563