On the Riesz basis property of the root functions of a discontinuous boundary problem
Künye
Cabri, 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.5776Özet
In 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.