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Sufficient conditions for stability and instability of autonomous functional-differential equations. (English) Zbl 0135.30301

Full Text: DOI
[1] Arens, R. F.: A topology for spaces of transformations. Ann. math. 47, 480-495 (1964) · Zbl 0060.39704
[2] Bellman, R.; Cooke, K.: Differential-difference equations. (1963) · Zbl 0105.06402
[3] Bourbaki, N.: ”Espaces vectoriels topologiques,” livre 5. (1953) · Zbl 0050.10703
[4] Ergen, W. K.: Kinetics of the circulating fuel nuclear reactor. J. appl. Phys. 25, 702-711 (1954) · Zbl 0055.23003
[5] Hale, J. K.: A stability theorem for functional-differential equations. Proc. natl. Acad. sci. 50, 942-946 (1963) · Zbl 0196.38303
[6] Kelley, J. L.: General topology. (1955) · Zbl 0066.16604
[7] Lasalle, J. P.: The extent of asymptotic stability. Proc. natl. Acad. sci. 46, 365 (1960) · Zbl 0094.28602
[8] Levin, J. J.; Nohel, J.: On a nonlinear delay equation. J. math. Anal. appl. 8, 31-44 (1964) · Zbl 0129.07703
[9] Krasovskii, N. N.: Stability of motion. (1959)
[10] Volterra, V.: Sur la théorie mathématique des phénomènes héréditaires. J. math. Pures appl. 7, 249-298 (1928) · Zbl 54.0934.06
[11] Volterra, V.: Théorie mathématique de la lutte pour la vie. (1931) · Zbl 57.0466.02