Riesz basis property of system of root functions of second-order differential operator with involution

The properties of the root functions are studied for an arbitrary operator generated in L 2 (−1, 1) by the operation with involution of the form Lu = − u ″( x )+ αu ″(− x )+ q ( x ) u ( x )+ qν ( x ) u ( ν ( x )), where α ∈ (−1, 1), ν ( x ) is an absolutely continuous involution of the segment [−1,...

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Veröffentlicht in:	Differential equations 2017, Vol.53 (1), p.33-46
Hauptverfasser:	Kritskov, L. V., Sarsenbi, A. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Boundary conditions Continuity (mathematics) Difference and Functional Equations Differential equations Eigenvalues Mathematics Mathematics and Statistics Operators Ordinary Differential Equations Partial Differential Equations Roots Segments Studies
Online-Zugang:	Volltext
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