Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient
Título del documento: Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient
Revista: Anais da Academia Brasileira de Ciencias
Base de datos: PERIÓDICA
Número de sistema: 000417587
ISSN: 0001-3765
Autores: 1
2
2
Instituciones: 1Cumhuriyet University, Faculty of Science, 58140 Sivas, Turkey, Sivas. Turquía
2Suleyman Demirel University, Department of Mathematics, Isparta. Turquía
Año:
Periodo: Dic
Volumen: 89
Número: 4
Paginación: 2547-2562
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental
Resumen en inglés 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
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Eigenvalores,
Condición de frontera,
Operadores diferenciales,
Teoría de Sturm-Liouville,
Problemas inversos
Keyword: Applied mathematics,
Eigenvalues,
Boundary value problem,
Differential operators,
Sturm-Liouville theory,
Inverse problems
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