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. |