scholarly journals Nonlocal multipoint problem for an ordinary differential equations of even order involution

2017 ◽  
Vol 49 (1) ◽  
Author(s):  
Ya. Baranetskij ◽  
P. Kalenyuk ◽  
L. Kolyasa ◽  
M. Kopach
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Multipoint Problem ◽  
Even Order

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

2020 ◽  
Vol 26 (2) ◽  
pp. 297-307
Author(s):  
Petro I. Kalenyuk ◽  
Yaroslav O. Baranetskij ◽  
Lubov I. Kolyasa
Keyword(s):  
Differential Operator ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Riesz Basis ◽  
Existence And Uniqueness ◽  
Spectral Properties ◽  
Nonlocal Problem ◽  
Even Order

AbstractWe 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.

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