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In this article we consider eigenvalue problems for fourth-order ordinary differential equation with spectral parameter in boundary conditions. We study the location of eigenvalues on the real axis, find the multiplicities of eigenvalues, investigate the oscillation properties of eigenfunctions, and the basis properties in the space Lp, 1 < p <∞, of the subsystems of eigenfunctions of this problem.

Spectral properties of a fourth order eigenvalue problem with spectral parameter in the boundary conditions