Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order

Boundary value problems

Hamza Menken¹ 

[1] Mathematics Department, Science and Arts Faculty, Mersin University, Mersin, Turkey

关键词: Periodic Boundary Condition;    Simple Computation;    Fundamental Solution;    Asymptotic Formula;    Recursion Relation;   

DOI  :  10.1155/2010/720235

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY