arXiv Open Access 2014

On the asymptotically simplicity of periodic eigenvalues and Titchmarsh's formula

Alp Arslan Kıraç

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Abstrak

We consider Sturm-Liouville equation $y^{\prime\prime}+(λ-q)y=0$ where $q\in L^{1}[0,a]$. We obtain various conditions on the Fourier coefficients of q such that the periodic eigenvalues having the form given by Titchmarsh are asymptotically simple. Under these conditions, we give some asymptotic estimates for the spectral gaps.

Topik & Kata Kunci

math.SP math.FA

Penulis (1)

Alp Arslan Kıraç

Format Sitasi

APA MLA BibTeX

Kıraç, A.A. (2014). On the asymptotically simplicity of periodic eigenvalues and Titchmarsh's formula. https://arxiv.org/abs/1407.4994

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Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓