Abstract
We consider a Sturm–Liouville problem with spectral parameter in the boundary conditions. We give a general characteristic of the arrangement of eigenvalues on the real axis (the complex plane), study the structure of root subspaces and the oscillation properties of eigenfunctions, and analyze the basis properties of systems of root functions of this problem in the space Lp(0, 1), 1 < p < ∞.
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