Title of article
Spectral properties of a problem of vibrations of a loaded string in Lebesgue spaces
Author/Authors
Gasymov, Telman B. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Maharramova, Gular V. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Mammadova, Natavan G. Department of Informatics - Ganja State Univesity Ganja, Azerbaijan
Pages
7
From page
62
To page
68
Abstract
Basis properties of the eigenfunctions of a spectral problem for a second order discontinuous
differential operator with a spectral parameter in discontinuity (conjugation) conditions are studied for
Lebesgue spaces. This kind of problem arises when one tries to solve the problem of vibrations of a
loaded string with fixed ends. New method is suggested to prove the basicity of eigenfunctions in the
spaces Lp ⊕ C and Lp.
Keywords
eigenvalue , eigenfunction , biorthogonal system , basicity
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2018
Full Text URL
Record number
2611598
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