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Inverse indefinite Sturm–Liouville problems with three spectra by Shouzhong Fu; Zongben Xu; Guangsheng Wei is a Mathematics article available to read on EtoBox.

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We prove that the potential q( x) of an indefinite Sturm-Liouville problem on the closed interval [a, b] with the indefinite weight function w(x) can be determined uniquely by three spectra, which are generated by the indefinite problem defined on [a, b] and two right-definite problems defined on [a, 0] and [0, b], where point 0 lies in (a, b) and is the turning point of the weight function w(x).

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Author

Shouzhong Fu; Zongben Xu; Guangsheng Wei

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)

Published

2011

Language

EN

Field

Mathematics (Physical Sciences)