Periodic solutions of the quasilinear beam vibration equation with homogeneous boundary conditions
Игорь Алексеевич Рудаков · Differential Equations · 2012
We prove the existence of infinitely many time-periodic solutions of the quasilinear beam vibration equation with homogeneous boundary conditions for the case in which the nonlinear term has power-law growth. We also prove the existence of at least one periodic solution provided that the nonlinear term satisfies the resonance-free condition.