Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order
Mathematics Department, Science and Arts Faculty, Mersin University, 33343 Mersin, Turkey
Boundary Value Problems 2010, 2010:720235 doi:10.1155/2010/720235Published: 28 November 2010
In the present paper, we consider a nonself-adjoint fourth-order differential operator with the periodic boundary conditions. We compute new accurate asymptotic expression of the fundamental solutions of the given equation. Then, we obtain new accurate asymptotic formulas for eigenvalues and eigenfunctions.