References
J. K. Hale and J. Kato, Funkc. Ekvac. 21, 11–41 (1978).
V. B. Kolmanovskii and V. R. Nosov, Stability and Periodic Modes of Regulated Systems with Aftereffect (Nauka, Moscow, 1981) [in Russian].
A. S. Andreev and S. V. Pavlikov, Prikl. Mat. Mekh. 63, 3–12 (1999).
V. V. Rumyantsev, Vestn. Mosk. Univ., No. 4, 9–16 (1957).
V. I. Vorotnikov and V. V. Rumyantsev, Stability and Control of Dynamical Systems with Respect to Part of the Phase Vector Coordinates: Theory, Methods, and Applications (Nauchnyi Mir, Moscow, 2001) [in Russian].
V. Volterra, Theory of Functionals and of Integral and Integro-Differential Equations (Blackie, London, 1930; Nauka, Moscow, 1982).
A. A. Ilyushin and B. E. Pobedrya, Foundations of the Mathematical Theory of Thermoviscoelasticity (Nauka, Moscow, 1979) [in Russian].
V. V. Rumyantsev, On the Stability of Stationary Motions of Satellites (Izd. VTs AN SSSR, Moscow, 1967) [in Russian].
A. V. Karapetyan, Stability of Stationary Motions (Editorial URSS, Moscow, 1998) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.V. Pavlikov, 2007, published in Doklady Akademii Nauk, 2007, Vol. 416, No. 2, pp. 166–168.
Rights and permissions
About this article
Cite this article
Pavlikov, S.V. The stability of motions of hereditary systems with infinite delay. Dokl. Math. 76, 678–680 (2007). https://doi.org/10.1134/S1064562407050109
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1064562407050109