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arXiv · 2310.13964

Spectral data asymptotics for fourth-order boundary value problems

Natalia P. Bondarenko
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Abstract

In this paper, we derive sharp asymptotics for the spectral data (eigenvalues and weight numbers) of the fourth-order linear differential equation with a distribution coefficient and three types of separated boundary conditions. Our methods rely on the recent results concerning regularization and asymptotic analysis for higher-order differential operators with distribution coefficients. The results of this paper have applications to the theory of inverse spectral problems as well as a separate significance.

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BibTeXRIS

Natalia P. Bondarenko. 2023-10-21. Spectral data asymptotics for fourth-order boundary value problems. https://arxiv.org/abs/2310.13964

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