Basicity in L_p of root functions for differential equations with involution

We consider the differential equation $$ \alpha u''(-x)-u''(x)=\lambda u(x), \quad -1<x<1, $$ with the nonlocal boundary conditions $u(-1)=0$, $u'(-1)=u'(1)$ where $\alpha\in (-1,1)$. We prove that if $r=\sqrt{(1-\alpha)/(1+\alpha)}$ is irrational then the s...

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Bibliographic Details
Main Authors: Leonid V. Kritskov, Abdizhahan M. Sarsenbi
Format: Article
Language:English
Published: Texas State University 2015-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/278/abstr.html