Title of article :
ON THE SIMPLICITY OF THE EIGENVALUES OF NON-SELF-ADJOINT MATHIEU-HILL OPERATORS
Author/Authors :
VELIEV, O.A., Dogus University - Depart of Math, Turkey
Abstract :
Firstly, we analyze some spectral properties of the non-self-adjoint Hill operator with piecewise continuous even potential. Then using this we find conditions on the potential of the non-self-adjoint Mathieu operator, such that all eigenvalues of the periodic, antiperiodic, Dirichlet, and Neumann boundary value problems are simple
Keywords :
Mathieu , Hill Operator , Simple Eigenvalues , Boundary Value Problems
Journal title :
applied and computational mathematics
