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arXiv · 1208.3777

Asymptotic expressions of eigenvalues and fundamental solutions of a discontinuous fourth-order boundary value problem

Erdoğan Şen·Serkan Araci·Mehmet Acikgoz
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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.

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Erdoğan Şen, Serkan Araci, Mehmet Acikgoz. 2012-08-18. Asymptotic expressions of eigenvalues and fundamental solutions of a discontinuous fourth-order boundary value problem. https://arxiv.org/abs/1208.3777

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