Applied Mathematics, Kettering University 1700 West Third Avenue, Flint, MI 48504-4898 USA. E-mail: bmccarti@kettering.edu
AMS Subject Classification: 34B24, 34L05, 34M25.
Structural properties of the eigenvalues and eigenfunctions of a Sturm-Liouville problem with an impedance boundary condition are studied herein. This entails a Robin boundary condition with a complex boundary parameter. The thrust of the present investigation is provided by the mapping of Neumann to Dirichlet eigenproblems that obtains as the complex boundary parameter varies from zero to the point at infinity along a fixed direction in the complex plane. Various properties of the spectrum and modal functions are explored.
Sturm-Liouville problem, impedance boundary condition, non-self-adjoint boundary value problem
