An Inverse Eigenvalue Problem of Order Four—An Infinite Case

DOI10.1137/0509026zbMath0384.34014OpenAlexW1985162608MaRDI QIDQ4163469

Joyce R. McLaughlin

Publication date: 1978

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0509026

Mathematics Subject Classification ID

Ordinary differential operators (34L99)

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An inverse scattering formalism for higher-order differential operators ⋮ Sampling for the fourth-order Sturm--Liouville differential operator ⋮ Sharp eigenvalue asymptotics of fourth-order differential operators ⋮ Uniqueness in the determination of unknown coefficients of an Euler-Bernoulli beam equation with observation in an arbitrary small interval of time ⋮ Iso-spectral operators: Some model examples with discontinuous coefficients ⋮ Eigenvalue asymptotics and a trace formula for a fourth-order differential operator ⋮ Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation ⋮ On the spectral properties of a fourth-order self-adjoint operator ⋮ Sharp eigenvalue asymptotics for fourth order operators on the circle ⋮ Uniqueness for near-constant data in fourth-order inverse eigenvalue problems ⋮ Numerical algorithms for inverse Sturm-Liouville problems

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