On a vibration problem of the cusped beams in the (0,0) approximation of the hierarchical models

The aim of the present talk is to study well-possedness of initial-boundary value problems in case of (0,0) approximation of hierarchical models [1,2]. The problem mathematically leads to the system of the second order Fredholm type integral equation with symmetric kernel. The solution of the system is constructed in the form of absolutely and uniformly convergent series.