Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient

AUTOR(ES)

ADILOGLU, ANAR, GÜRDAL, MEHMET, KINCI, AYŞE N.

FONTE

An. Acad. Bras. Ciênc.

DATA DE PUBLICAÇÃO

2017-12

RESUMO

Abstract The present paper studies uniqueness properties of the solution of the inverse problem for the Sturm-Liouville equation with discontinuous leading coefficient and the separated boundary conditions. It is proved that the considered boundary-value is uniquely reconstructed, i.e. the potential function of the equation and the constants in the boundary conditions are uniquely determined by given Weyl function or by the given spectral data.

Documentos Relacionados

• A STURM-LIOUVILLE THEOREM FOR NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS*
• Calculo de funções de Green pelo metodo de expansão tipo Sturm-Liouville
• Construindo transformadas finitas usando a Teoria de Sturm--Liouville
• General solution to the inverse problem of the differential equation of the ultracentrifuge.
• THE MIXED PROBLEM FOR LAPLACE'S EQUATION IN THE PLANE DISCONTINUOUS BOUNDARY VALUES