Oscillation criteria for extended linear matrix Hamiltonian systems
Classical Analysis and ODEs
2024-09-20 v1
Abstract
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.
Cite
@article{arxiv.2409.12563,
title = {Oscillation criteria for extended linear matrix Hamiltonian systems},
author = {G. A. Grigorian},
journal= {arXiv preprint arXiv:2409.12563},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2209.00831