On almost periodic differential equations
HTML articles powered by AMS MathViewer
- by Richard K. Miller PDF
- Bull. Amer. Math. Soc. 70 (1964), 792-795
References
- Luigi Amerio, Soluzioni quasi-periodiche, o limitate, di sistemi diferenziali non lineari quasi-periodici, o limitati, Ann. Mat. Pura Appl. (4) 39 (1955), 97–119 (Italian). MR 79687, DOI 10.1007/BF02410765
- H. A. Antosiewicz, A survey of Lyapunov’s second method, Contributions to the theory of nonlinear oscillations, Vol. IV, Annals of Mathematics Studies, no. 41, Princeton University Press, Princeton, N.J., 1958, pp. 141–166. MR 0102643
- E. A. Barbašin and N. N. Krasovskiĭ, On stability of motion in the large, Doklady Akad. Nauk SSSR (N.S.) 86 (1952), 453-456 (Russian). MR 0052616
- A. S. Besicovitch, Almost periodic functions, Dover Publications, Inc., New York, 1955. MR 0068029 5. N. N. Krasovskiĭ, Stability of motions, Stanford Univ. Press, Stanford, Calif., 1963.
- J. P. LaSalle, Asymptotic stability criteria, Proc. Sympos. Appl. Math., Vol. XIII, American Mathematical Society, Providence, R.I., 1962, pp. 299–307. MR 0136842
- J. J. Levin, On the global asymptotic behavior of nonlinear systems of differential equations, Arch. Rational Mech. Anal. 6 (1960), 65–74 (1960). MR 119525, DOI 10.1007/BF00276154
- J. J. Levin and J. A. Nohel, Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics, Arch. Rational Mech. Anal. 5 (1960), 194–211 (1960). MR 119524, DOI 10.1007/BF00252903
- J. L. Massera, On Liapounoff’s conditions of stability, Ann. of Math. (2) 50 (1949), 705–721. MR 35354, DOI 10.2307/1969558
- Taro Yoshizawa, Asymptotic behavior of solutions of a system of differential equations, Contributions to Differential Equations 1 (1963), 371–387. MR 148991 11. T. Yoshizawa, Asymptotic system of a perturbed system, Internat. Sympos. Nonlinear Differential Equations and Nonlinear Mechanics, pp. 80-85, Academic Press, New York, 1963.
Additional Information
- Journal: Bull. Amer. Math. Soc. 70 (1964), 792-795
- DOI: https://doi.org/10.1090/S0002-9904-1964-11239-8
- MathSciNet review: 0167677