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
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
