A nonlocal problem for a differential operator of even order with involution

• Autorzy: Kalenyuk Petro I. , Baranetskij Yaroslav O. , Kolyasa Lubov I.

Identyfikatory

DOI

10.1515/jaa-2020-2026

• Języki publikacji: EN

Abstrakty

EN

We study a nonlocal problem for ordinary differential equations of 2n-order with involution. Spectral properties of the operator of this problem are analyzed and conditions for the existence and uniqueness of its solution are established. It is also proved that the system of eigenfunctions of the analyzed problem forms a Riesz basis.

Słowa kluczowe

EN

differential equation; root function; operator of involution; nonself-adjoint operator; Riesz basis; nonlocal problem

PL

równanie różniczkowe; bazy Riesza; zagadnienie nielokalne

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 2
• Strony: 297--307
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Kalenyuk Petro I.

• Department of Mathematics, Lviv Polytechnic National University, S. Bandery Str. 12, 79013 Lviv, Ukraine

autor

Baranetskij Yaroslav O.

• Department of Computational Mathematics and Programming, Lviv Polytechnic National University, S. Bandery Str. 12, 79013 Lviv, Ukraine

autor

Kolyasa Lubov I.

• Department of Mathematics, Lviv Polytechnic National University, S. Bandery Str. 12, 79013 Lviv, Ukraine

Bibliografia

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