Determination of a Third-Order Operator from Two of Its Spectra

DOI10.1137/S0036141097329639zbMath0936.34007MaRDI QIDQ4699183

Laurent Amour

Publication date: 23 November 1999

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

zbMATH Keywords

inverse spectral problemcounting lemmathird-order operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (6)

Dependence of solutions and eigenvalues of third order linear measure differential equations on measures ⋮ Ambarzumyan-type theorem for third order linear measure differential equations ⋮ Ambarzumyan theorem for third order ordinary differential equations with discontinuity conditions inside a finite interval ⋮ Direct and inverse problems for a third order self-adjoint differential operator with periodic boundary conditions and nonlocal potential ⋮ Spectral asymptotics for the third order operator with periodic coefficients ⋮ Resonances of third order differential operators

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