Some properties of eigenvalues and generalized eigenvectors of one boundary value problem
We investigate a discontinuous boundary value problem which consists of a Sturm-Liouville
equation with piecewise continuous potential together with eigenparameter dependent
boundary conditions and supplementary transmission conditions. We establish some
spectral properties of the considered problem. In particular, it is shown that the problem
under consideration has precisely denumerable many eigenvalues λ1, λ2,..., which are real
and tends to+∞. Moreover, it is proven that the generalized eigenvectors form a Riesz basis …
equation with piecewise continuous potential together with eigenparameter dependent
boundary conditions and supplementary transmission conditions. We establish some
spectral properties of the considered problem. In particular, it is shown that the problem
under consideration has precisely denumerable many eigenvalues λ1, λ2,..., which are real
and tends to+∞. Moreover, it is proven that the generalized eigenvectors form a Riesz basis …
Some properties of eigenvalues and generalized eigenvectors of one boundary-value problem
H Olgar, O Mukhtarov… - … Conference on Analysis …, 2016 - ui.adsabs.harvard.edu
We investigate a discontinuous boundary value problem which consists of a Sturm-Liouville
equation with piece-wise continuous potential together with eigenparameter-dependent
boundary conditions and supplementary transmission conditions. We establish some
spectral properties of the considered problem. In particular it is shown that the generalized
eigen-functions form a Riesz basis of the adequate Hilbert space.
equation with piece-wise continuous potential together with eigenparameter-dependent
boundary conditions and supplementary transmission conditions. We establish some
spectral properties of the considered problem. In particular it is shown that the generalized
eigen-functions form a Riesz basis of the adequate Hilbert space.
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