Some Properties of a Sturm-Liouville-Type Problem and The Green Function

Subject Applied Mathematics
Title Some Properties of a Sturm-Liouville-Type Problem and The Green Function
Author(s) Okan KUZU, Yasemin KUZU, Mahir KADAKAL
Keywords Boundary value problem, Sturm-Liouville Theory, eigenvalue, eigenfunction, asymptotic behavior, Green’s Function.
Abstract

In this study we have created Hilbert Space of The Sturm Liouville Boundary Value Problem in [0,π] interval, with boundary conditions which has λ complex eigenparameter. We have shown symmetric of appropriate operator to the problem. We have obtained asymptotic of solution functions and asymtotic of wronskian of the solution functions by using them. Moreover, we have examined Green function and asymtotic expansion of eigenvalues.