Cabri, Olgun2019-12-042019-12-042019Cabri, O. (n.d.). On the Riesz basis property of the root functions of a discontinuous boundary problem. Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.5776https://doi.org/10.1002/mma.5776https://hdl.handle.net/11494/1835In this paper, we consider the nonself-adjoint discontinuous Sturm Liouvilleoperator with periodic (antiperiodic) boundary condition and compatibility con-ditions. Asymptotic formulas of eigenvalues and eigenfunctions of the operatorare obtained. Using these accurate asymptotic formulas for eigenvalues andeigenfunctions, we prove the basisness of the root functions of the boundaryvalue problem.eninfo:eu-repo/semantics/embargoedAccessEigenfunctionsEigenvaluesRiesz BasisSturm Liouville TheoryArticle42186733674010.1002/mma.5776Q1N/A