Spectral properties of a nonlocal problem for a second-order differential equation with an involution

For the equation αu ″(- x ) - u ″( x ) = λu( x ), ™1 < x < 1, where α ∈ (™1, 1), we study the problem with the nonlocal conditions u(™1) = 0, u′(™1) = u′(1). We show that if is irrational, then the system of eigenfunctions is complete and minimal in L 2 (™1, 1) but is not a basis. For rational...

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Veröffentlicht in:	Differential equations 2015-08, Vol.51 (8), p.984-990
Hauptverfasser:	Kritskov, L. V., Sarsenbi, A. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Differential equations Eigenfunctions Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Roots Spectra Studies Texts
Online-Zugang:	Volltext
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