Identification of the Domain of the Sturm–Liouville Operator on a Star Graph
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This article is devoted to the unique recovering of the domain of the Sturm–Liouville operator on a star graph. The domain of the Sturm–Liouville operator is uniquely identified from the set of spectra of a finite number of specially selected canonical problems. In the general case, the domain of the definition of the original operator can be specified by integro-differential linear forms. In the case when the domain of the Sturm–Liouville operator on a star graph corresponds to the boundary value problem, it is sufficient to choose only finite parts of the spectra of canonical problems for a unique identification of the boundary form. Moreover, the above statement is valid only for a symmetric star graph.
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1976 ◽
Vol 10
(1)
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pp. 72-73
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2015 ◽
Vol 26
(10)
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pp. 1550080
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2012 ◽
Vol 36
(13)
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pp. 1685-1700
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1980 ◽
Vol 32
(2)
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pp. 159-162
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