Completeness of the system of Floquet solutions of equations of the neutral type
Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 297-306
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 $\omega$.
@article{MZM_1968_3_3_a8,
author = {N. A. Kulesko},
title = {Completeness of the system of {Floquet} solutions of equations of the neutral type},
journal = {Matemati\v{c}eskie zametki},
pages = {297--306},
year = {1968},
volume = {3},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a8/}
}
N. A. Kulesko. Completeness of the system of Floquet solutions of equations of the neutral type. Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 297-306. http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a8/