Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument

作者:Sen Erdogan; Seo Jong Jin*; Araci Serkan
来源:Journal of Applied Mathematics, 2013, 2013: 306917.
DOI:10.1155/2013/306917

摘要

In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. This is the first work containing two discontinuities points in the theory of differential equations with retarded argument. In that special case the transmission coefficients delta = gamma = 1 and retarded argument Delta = 0 in the results obtained in this work coincide with corresponding results in the classical Sturm-Liouville operator.

  • 出版日期2013