arXiv Open Access 2011

Method of oscillation and spectral problem for four-order differential operator with self-similar weight

A. A. Vladimirov

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Abstrak

Self-adjoint boundary problems for the equation $y^{(4)}-λρy=0$ with generalized derivative $ρ\in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered. Using the oscillating properties of the eigenfunctions, the spectral asymptotics are made more precise then in previous papers.

Topik & Kata Kunci

math.SP

Penulis (1)

A. A. Vladimirov

Format Sitasi

APA MLA BibTeX

Vladimirov, A.A. (2011). Method of oscillation and spectral problem for four-order differential operator with self-similar weight. https://arxiv.org/abs/1107.4791

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓