Publication: On spectral properties of a fourth-order boundary value problem
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Elsevier BV
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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.
Description
Journal or Series
Ain Shams Engineering Journal
ISSN
2090-4479
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OPEN
Keywords
Transmission conditions, Fourth-order differential operator, Spectrum, TA1-2040, Asymptotics of eigenvalues and eigenfunctions, Engineering (General). Civil engineering (General)