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