Data/hora: 12/06/2024 14:42:35

Provedor de dados: | 42
País: | Brazil
Título: | Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient
Autores: | ADILOGLU,ANAR; GÜRDAL,MEHMET; KINCI,AYŞE N.
Data: | 2017-12-01
Ano: | 2017
Palavras-chave: | Asymptotic formulas for eigenvalues; Boundary value problems; Inverse problems; Spectral; Analysis of ordinary differential operators; Sturm-Liouville theory; Transformation operator.
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.
Tipo: | Info:eu-repo/semantics/article
Idioma: | Inglês
Identificador: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000602547
Editor: | Academia Brasileira de Ciências
Relação: | 10.1590/0001-3765201720160075
Formato: | text/html
Fonte: | Anais da Academia Brasileira de Ciências  v.89 n.4 2017
Fonte: | info:eu-repo/semantics/openAccess