Spectral Properties of Nonself-Adjoint Nonlocal Boundary-Value Problems for the Operator of Differentiation of Even Order
| Autor: | Ya. O. Baranets’kyi, L. I. Kolyasa, P. I. Kalenyuk |
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| Rok vydání: | 2018 |
| Předmět: |
Basis (linear algebra)
General Mathematics 010102 general mathematics Spectral properties Nonlocal boundary 02 engineering and technology 01 natural sciences 020303 mechanical engineering & transports Operator (computer programming) 0203 mechanical engineering Biorthogonal system Applied mathematics Order (group theory) Boundary value problem 0101 mathematics Value (mathematics) Mathematics |
| Zdroj: | Ukrainian Mathematical Journal. 70:851-865 |
| ISSN: | 1573-9376 0041-5995 |
| DOI: | 10.1007/s11253-018-1538-4 |
| Popis: | We study spectral properties of an essentially nonself-adjoint problem generated by nonlocal multipoint conditions for the operator of differentiation of order 2n and analyze the cases of regular and irregular Birkhoff two-point boundary conditions. A system of root functions of the problem and elements of biorthogonal systems are constructed. We also establish sufficient conditions under which these systems are complete and conditions under which they form a Riesz basis (under certain additional assumptions). |
| Databáze: | OpenAIRE |
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