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

Author:

Kalenyuk Petro I.1ORCID,Baranetskij Yaroslav O.2ORCID,Kolyasa Lubov I.1ORCID

Affiliation:

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

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

Abstract

Abstract We study a nonlocal problem for ordinary differential equations of 2 n {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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Reference23 articles.

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