Nonlocal spectral problem for a second-order differential equation with an involution

For the spectral problem −u''(x) + αu''(−x) = λu(x), −1 < x < 1, with nonlocal boundary conditions u(−1) = βu(1), u'(−1) = u'(1), where α ∈ (−1, 1), β2<>1, we study the spectral properties. We show that if r =√(1 − α)/(1 + α) is irrational, then the system...

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Bibliographic Details
Main Authors: L.V. Kritskov, M.A. Sadybekov, A.M. Sarsenbi
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2018-09-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/243