Finiteness of the Spectrum of Boundary Value Problems
- 13 Downloads
We consider boundary value problems with spectral parameter polynomially occurring in the differential equation or the boundary conditions. It is shown that some of these problems have a prescribed finite spectrum. A wide class of boundary value problems which do not have finite spectrum exist is found.
Unable to display preview. Download preview PDF.
- 1.Naimark, M.A., Lineinye differentsial’nye operatory (Linear Differential Operators), Moscow: Nauka, 1969.Google Scholar
- 5.Locker, J., Eigenvalues and completeness for regular and simply irregular two-point differential operators, in Memoirs of the American Mathematical Society, 2008, vol. 195, no. 911.Google Scholar