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math.SP2023
McLaughlin's inverse problem for the fourth-order differential operator
Natalia P. Bondarenko
In this paper, we revisit McLaughlin's inverse problem, which consists in the recovery of the fourth-order differential operator from the eigenvalues and two sequences of weight nu…
math.SP2023
Spectral data asymptotics for fourth-order boundary value problems
Natalia P. Bondarenko
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 a…