Oscillation and basis properties of a fourth order differential operator with spectral parameter in the boundary conditions

In this paper we consider a spectral problem with describes bending vibrations of a homogeneous rod, on the right end of which a tracing force acts and on the right end an inertial mass is concentrated. We study oscillation properties of eigenfunctions and basis properties of subsystems of eigenfunctions in the space Lp(0; 1); 1 < p < 1 of this problem.