Spectrum of one BVP with Discontinuities and Spectral Parameter in the Boundary Conditions

摘要

The aim this of paper is to investigate the spectral problem for the equation -(pu')'(x) + q(x)u(x)= Au(x), under eigendependent boundary conditions and supplementary transmission conditions at finite number interior points. By modifying some techniques of classical Sturm-Liouville theory and suggesting own approaches we esthabilish some properties of the eigenvalues and eigenfunction.