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

Kalenyuk Petro I., Baranetskij Yaroslav O., Kolyasa Lubov I.

Journal of Applied Analysis

2020

Vol. 26, nr 2

297--307

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.