Spectral data asymptotics for fourth-order boundary value problems

2023/10/21 by Bondarenko, Natalia P.
#34L20 34B09 34B05 34E05 46F10 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2310.13964

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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