On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems

Alp Arslan Kıraç

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

Abstract: We consider the nonself‐adjoint Sturm‐Liouville operator with q ∈ L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1] in terms of the Fourier coefficients of q.

Date: 2015
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https://doi.org/10.1155/2015/945049

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:945049

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