Abstract:
The necessary and sufficient conditions for the completeness of the system of Floquet solutions, the eigenfunctions and associated functions of the displacement operator, over a period of the coefficient in metrics $C_1$ and $C$ in the space of all solutions of the equation $\dot y(t)=q(t)y(t-n\omega)+a\dot y(t-m\omega)$, are obtained. Here $q(t)$ is a continuous function of the period $\omega$.
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