Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient
Document title: Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient
Journal: Anais da Academia Brasileira de Ciencias
Database: PERIÓDICA
System number: 000417587
ISSN: 0001-3765
Authors: 1
2
2
Institutions: 1Cumhuriyet University, Faculty of Science, 58140 Sivas, Turkey, Sivas. Turquía
2Suleyman Demirel University, Department of Mathematics, Isparta. Turquía
Year:
Season: Dic
Volumen: 89
Number: 4
Pages: 2547-2562
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English 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
Disciplines: Matemáticas
Keyword: 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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