Author/Authors :
Sen, E Department of Mathematics Engineering - Istanbul Technical University, Maslak, Turkey , Mukhtarov, O. Sh Department of Mathematics - Gaziosmanpaşa University, Tokat, Turkey , Orucoglu, K Department of Mathematics Engineering - Istanbul Technical University, Maslak, Turkey
Abstract :
In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm–Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L2[−1,1]⊕C and suitable self-adjoint linear operator in it.
Keywords :
Sturm–Liouville problem , Eigenvalue , igenfunction , Resolvent operator , Transmission conditions
