Higher order Nevanlinna functions and the inverse three spectra problem | Zendy

Olga Boyko | Zendy; Olga Martinyuk | Zendy; Vyacheslav Pivovarchik | Zendy

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Higher order Nevanlinna functions and the inverse three spectra problem

Author(s) -

Olga Boyko,

Olga Martinyuk,

Vyacheslav Pivovarchik

Publication year - 2016

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2016.36.3.301

Subject(s) - mathematics , uniqueness , dirichlet problem , dirichlet eigenvalue , dirichlet distribution , dirichlet's principle , elliptic boundary value problem , boundary value problem , dirichlet's energy , order (exchange) , dirichlet boundary condition , mathematical analysis , pure mathematics , mixed boundary condition , finance , economics

The three spectra problem of recovering the Sturm-Liouville equation by the spectrum of the Dirichlet-Dirichlet boundary value problem on \([0,a]\), the Dirichlet-Dirichlet problem on \([0,a/2]\) and the Neumann-Dirichlet problem on \([a/2,a]\) is considered. Sufficient conditions of solvability and of uniqueness of the solution to such a problem are found

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