Multiperiodic solutions of autonomous systems with operator of differentiation on the Lyapunov’s vector field
Zh.А. Sartabanov, Б.Ж. Омарова · AIP conference proceedings · 2018
In this paper, we consider an autonomous system of the special form with a operator of differentiation whose characteristic system is related with the Lyapunov’s systems. The multiperiodicity of zeros of this operator has established. By the methods of the theory of multiperiodic solutions, we prove a theorem on the existence of a unique multiperiodic solution with respect to time variables. The result of the theorem extends to the nonlinear case on the basis of the fixed point method.