arXiv Open Access 2010

Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight

A. A. Vladimirov I. A. Sheipak

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Abstrak

The spectral problem for the high order differential operator with singular weight is considered. If the weight is a generalized derivative of self-similar function with zero spectral degree the asymptotics of eigenvalues is obtained. They are proved to have exponential growth and depend on the order of differential operator and self-similarity parameters.

Topik & Kata Kunci

math.SP

Penulis (2)

A. A. Vladimirov

I. A. Sheipak

Format Sitasi

APA MLA BibTeX

Vladimirov, A.A., Sheipak, I.A. (2010). Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight. https://arxiv.org/abs/1009.5335

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓