arXiv Open Access 2011

Spectral and oscillation properties for a linear pencil of fourth-order differential operators

J. Ben Amara A. A. Shkalikov A. A. Vladimirov

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Abstrak

The present paper deals with the spectral and the oscillation properties of a linear pencil $A-λB$. Here $A$ and $B$ are linear operators generated by the differential expressions $(py")"$ and $-y"+ cry$, respectively. In particular, it is shown that the negative eigenvalues of this problem are simple and the corresponding eigenfunctions $y_{-n}$ have $n-1$ zeros in $(0,1)$.

Topik & Kata Kunci

math.SP

Penulis (3)

J. Ben Amara

A. A. Shkalikov

A. A. Vladimirov

Format Sitasi

APA MLA BibTeX

Amara, J.B., Shkalikov, A.A., Vladimirov, A.A. (2011). Spectral and oscillation properties for a linear pencil of fourth-order differential operators. https://arxiv.org/abs/1112.2351

Akses Cepat

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Informasi Jurnal

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