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Basis Properties in Lp of a Sturm-Liouville Operator with Spectral Parameter in the Boundary Conditions

The Sturm-Liouville operator with spectral parameter in the boundary conditions is considered, and sufficient conditions for the basis property of the system of eigenfunctions of this operator in the space… Click to show full abstract

The Sturm-Liouville operator with spectral parameter in the boundary conditions is considered, and sufficient conditions for the basis property of the system of eigenfunctions of this operator in the space Lp(0, 1), 1 < p < ∞, are obtained.

Keywords: operator spectral; boundary conditions; parameter boundary; sturm liouville; spectral parameter; liouville operator

Journal Title: Differential Equations
Year Published: 2019

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