arXiv Open Access 2018

A note on eigenvalues of a class of singular continuous and discrete linear Hamiltonian systems

Hao Zhu

Lihat Sumber

Abstrak

In this paper, we show that the analytic and geometric multiplicities of an eigenvalue of a class of singular linear Hamiltonian systems are equal, where both endpoints are in the limit circle cases. The proof is fundamental and is given for both continuous and discrete Hamiltonian systems. The method used in this paper also works for both endpoints are regular, or one endpoint is regular and the other is in the limit circle case.

Topik & Kata Kunci

math.SP

Penulis (1)

Hao Zhu

Format Sitasi

APA MLA BibTeX

Zhu, H. (2018). A note on eigenvalues of a class of singular continuous and discrete linear Hamiltonian systems. https://arxiv.org/abs/1808.00397

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓