Spectrum and spectral singularities of a quadratic pencil of a Schrodinger operator with a general boundary condition

In this thesis, the solutions satisfying certain boundary conditions of theoperator L generated in L2[0,∞) are investigated. The resolvent and the∞continuous spectrum of the operator L are found. The structure of theeigenvalues and spectral singularities is investigated. It is also proved thatprincipal functions corresponding to the eigenvalues and spectral singularitiesof the operator L belong to L2 and H- , respectively.Science Code : 204.1.095Key Words : Eigenvalue, eigenfunction, Wronskian, spectrum, spectralsingularity, resolvent, principal functionPage Number : 58Adviser : Assist. Prof. Esra KIR