Name: On spectral properties of a fourth-order boundary value problem
Creator: Şen, Erdoğan
Keywords: Transmission conditions, Fourth-order differential operator, Spectrum, TA1-2040, Asymptotics of eigenvalues and eigenfunctions, 0101 mathematics, Engineering (General). Civil engineering (General), 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2013 English Publisher:Elsevier BVJournal:Ain Shams Engineering Journal, volume 4, pages 531-537 (issn: 2090-4479,

Authors: Şen, Erdoğan;

doi: 10.1016/j.asej.2012.11.006

handle: 20.500.11776/7365

On spectral properties of a fourth-order boundary value problem

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Abstract

AbstractIn this work, we study a fourth-order boundary value 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. We discuss asymptotic behavior of its eigenvalues and completeness of its eigenfunctions.

Related Organizations

Istanbul Technical University
Turkey
Namık Kemal University
Turkey

Keywords

Transmission conditions, Fourth-order differential operator, Spectrum, TA1-2040, Asymptotics of eigenvalues and eigenfunctions, Engineering (General). Civil engineering (General)

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