Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient
An. acad. bras. ciênc
;
89(4): 2547-2561, Oct.-Dec. 2017.
Article
in English
| LILACS
| ID: biblio-886828
ABSTRACT
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.
Full text:
Available
Index:
LILACS (Americas)
Language:
English
Journal:
An. acad. bras. ciênc
Journal subject:
Science
Year:
2017
Type:
Article
Affiliation country:
Turkey
Institution/Affiliation country:
Cumhuriyet University/TR
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