Identification of the domain of the sturm–liouville operator on a star graph
Kanguzhin B. Aimal Rasa G.H. Kaiyrbek Z.
July 2021MDPI AG
Symmetry
2021#13Issue 7
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.
Boundary conditions , Boundary value problems , Canonical problems
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Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Shaheed Prof. Rabbani Education University, Kabul, 1001, Afghanistan
Institute of Mathematics and Mathematical Modeling
Shaheed Prof. Rabbani Education University
10 лет помогаем публиковать статьи Международный издатель
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