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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1968, Volume 3, Issue 3, Pages 297–306 (Mi mz6682)

Completeness of the system of Floquet solutions of equations of the neutral type

N. A. Kulesko

Kharkov State University

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 $\omega$.

Full text: PDF file (601 kB)

English version:
Mathematical Notes, 1968, 3:3, 188–193

Bibliographic databases:

UDC: 517.9

Citation: N. A. Kulesko, “Completeness of the system of Floquet solutions of equations of the neutral type”, Mat. Zametki, 3:3 (1968), 297–306; Math. Notes, 3:3 (1968), 188–193

Citation in format AMSBIB
\Bibitem{Kul68} \by N.~A.~Kulesko \paper Completeness of the system of Floquet solutions of equations of the neutral type \jour Mat. Zametki \yr 1968 \vol 3 \issue 3 \pages 297--306 \mathnet{http://mi.mathnet.ru/mz6682} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=229937} \zmath{https://zbmath.org/?q=an:0172.12302|0165.43003} \transl \jour Math. Notes \yr 1968 \vol 3 \issue 3 \pages 188--193 \crossref{https://doi.org/10.1007/BF01387333}