On the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions
Игорь Алексеевич Рудаков · Differential Equations · 2022
Abstract The existence of infinitely many periodic solutions of the quasilinear beam vibration equation is proved for the case in which the nonlinear term is a homogeneous odd function of power growth. The boundary conditions correspond to the cases of hinged and elastically fixed endpoints.