×

A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition. (English) Zbl 0822.47001

Summary: A singular non-self-adjoint boundary value problem is considered. This problem has a discontinuous coefficient with a spectral parameter in the boundary condition. Some solutions of the eigenvalue equation are given. The discrete spectrum is studied and the resolvent is obtained. A formulation of the adjoint problem is deduced and hence the continuous spectrum of the considered problem is given. Furthermore, the spectrum of the adjoint problem is investigated.

MSC:

47A10 Spectrum, resolvent
47E05 General theory of ordinary differential operators
PDF BibTeX XML Cite
Full Text: DOI EuDML