The spectral properties of boundary value problems with eigenvalue parameter in the boundary conditions

Author

Yoko Shioji

Date of Award

12-1995

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Don B. Hinton

Abstract

We study three types of boundary value problems with eigenvalue parameter in the boundary conditions, called (*), (**), and (***). We develop the self-adjoint operator and the Green's function associated with each of (*), (**), and (***). We also demonstrate the convergence of the eigenfunction expansion graphically and numerically for (*). Based on these results, we then solve a nonhomogeneous heat flow problem associated with (*).

Recommended Citation

Shioji, Yoko, "The spectral properties of boundary value problems with eigenvalue parameter in the boundary conditions. " Master's Thesis, University of Tennessee, 1995.
https://trace.tennessee.edu/utk_gradthes/11281