Geodesic
Spectral data asymptotics for fourth-order boundary value problems
The Bulletin of Irkutsk State University. Series Mathematics, Tome 47 (2024), pp. 31-46

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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.
Keywords: fourth-order differential operators, eigenvalue asymptotics, weight numbers.
Mots-clés : distribution coefficients 
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Natalia P. Bondarenko. Spectral data asymptotics for fourth-order boundary value problems. The Bulletin of Irkutsk State University. Series Mathematics, Tome 47 (2024), pp. 31-46. http://geodesic.mathdoc.fr/item/IIGUM_2024_47_a2/