On the Basis Property in Lp( 0,1) of the Root Functions of Non-self Adjoint Sturm-Lioville Operators
Keywords:Eigenfunctions, Basis, Periodic and anti-periodic conditions, Non-self adjoint Sturm-Liouville operator
AbstractIn the present paper, we prove the basisness of the root functions of the non-self adjoint Sturm-Liouville operators with periodic and anti-periodic boundary conditions in space Lp(0,1), p>1. Here we assume that the potential is absolutely continuous in [0,1].
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