Asymptotic expressions of eigenvalues and fundamental solutions of a discontinuous fourth-order boundary value problem
Classical Analysis and ODEs
2019-07-04 v3
Abstract
In the present paper, we deal with a fourth-order boundary value problem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. Following Mukhtarov and his students methods [2,4,6] we obtain asymptotic formulae for its eigenvalues and fundamental solutions. Our applications possess a number of interesting properties for studying in boundary value problems which we state in this paper.
Keywords
Cite
@article{arxiv.1208.3777,
title = {Asymptotic expressions of eigenvalues and fundamental solutions of a discontinuous fourth-order boundary value problem},
author = {Erdoğan Şen and Serkan Araci and Mehmet Acikgoz},
journal= {arXiv preprint arXiv:1208.3777},
year = {2019}
}
Comments
11 pages. arXiv admin note: substantial text overlap with arXiv:1208.5395