Sturm Liouville Problem with Discontinuity Conditions at Several Points

Subject Applied Mathematics
Title Sturm Liouville Problem with Discontinuity Conditions at Several Points
Author(s) F.Hıra and N.Altınısık
Keywords discontinuous Sturm Liouville problem: Eigenvalue:Eigenfunction
Abstract

In this paper we deal with the computation of the eigenvalues of Sturm Liouville problem with several discontinuity conditions (transmission conditions) inside a finite interval and parameter dependent boundary conditons.By using an operator theoretic interpretation we extend some classic results for regular Sturm Liouville problems.A symmetric linear operator A is defined in an appropriate Hilbert space such that the eigenvalues of such a problem coincide with those of A. Also,we obtained asymptotic formulaes for the eigenvalues and corresponding eigenfunctions.