Recovering a part of potential by partial information on spectra of boundary problems

• Autorzy: Pivovarchik V.
• Języki publikacji: EN

Abstrakty

EN

Under additional conditions uniqueness of the solution is proved for the following problem. Given 1) the spectrum of the Dirichlet problem for the Sturm-Liouville equation on [0, a] with real potential q(x) mem L2(0, a), 2) a certain part of the spectrum of the Dirichlet problem for the same equation on [a/3, a] and 3) the potential on [0, a/3]. The aim is to find the potential on [a/3 ,a].

Słowa kluczowe

EN

sine-type function; Lagrange interpolation series; Dirichlet boundary value problem; Dirichlet-Neumann boundary value problem

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2005
• Tom: Vol. 25, no. 1
• Strony: 131--137
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Pivovarchik V.

• South-Ukrainian State Pedagogical University, Department of Applied Mathematics and Informatics, Staropotofrankovskaya 26, Odessa, Ukraine 65029,

Bibliografia

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