• [1] Jozeph Auslander and Frank Hahn, Point transitive flows, algebras of functions and the Bebutov system, Fund. Math. 60 (1967), 117–137. MR 0221489 (36 #4541)
• [2] L. Auslander and F. Hahn, Real functions coming from flows on compact spaces and concepts of almost periodicity, Trans. Amer. Math. Soc. 106 (1963), 415–426. MR 0144325 (26 #1871), http://dx.doi.org/10.1090/S0002-9947-1963-0144325-8
• [3] John D. Baum, An equicontinuity condition for transformation groups, Proc. Amer. Math. Soc. 4 (1953), 656–662. MR 0056286 (15,51h), http://dx.doi.org/10.1090/S0002-9939-1953-0056286-X
• [4] A. S. Besicovitch, Almost periodic functions, Dover Publications Inc., New York, 1955. MR 0068029 (16,817a)
• [5] George D. Birkhoff, Dynamical systems, With an addendum by Jurgen Moser. American Mathematical Society Colloquium Publications, Vol. IX, American Mathematical Society, Providence, R.I., 1966. MR 0209095 (35 #1)
• [6] Lamberto Cesari, Asymptotic behavior and stability problems in ordinary differential equations, Second edition. Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Bd. 16, Academic Press Inc., Publishers, New York, 1963. MR 0151677 (27 #1661)
• [7] Lawrence G. Deysach and George R. Sell, On the existence of almost periodic motions, Michigan Math. J. 12 (1965), 87–95. MR 0173064 (30 #3279)
• [8] Walter Helbig Gottschalk and Gustav Arnold Hedlund, Topological dynamics, American Mathematical Society Colloquium Publications, Vol. 36, American Mathematical Society, Providence, R. I., 1955. MR 0074810 (17,650e)
• [9] F. Hausdorff, Die Mengen in vollständigen Räumen, Fund. Math. 6 (1924), 146-148.
• [10] E. Kamke, Differentialgleichungen reeller Funktionen, Akademische Verlagsgesellschaft, Leipzig, 1930.
• [11] E. Kamke, Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II, Acta Math. 58 (1932), no. 1, 57–85 (German). MR 1555344, http://dx.doi.org/10.1007/BF02547774
• [12] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR 0070144 (16,1136c)
• [13] J. P. LaSalle, Asymptotic stability criteria, Proc. Sympos. Appl. Math., Vol. XIII, American Mathematical Society, Providence, R.I., 1962, pp. 299–307. MR 0136842 (25 #303)
• [14] L. Markus, Asymptotically autonomous differential systems, Contributions to the theory of nonlinear oscillations, vol. 3, Annals of Mathematics Studies, no. 36, Princeton University Press, Princeton, N. J., 1956, pp. 17–29. MR 0081388 (18,394a)
• [15] -, The global theory of ordinary differential equations, Lecture Notes, Univ. of Minnesota, Minneapolis, 1964-1965.
• [16] Richard K. Miller, Asymptotic behavior of solutions of nonlinear differential equations, Trans. Amer. Math. Soc. 115 (1965), 400–416. MR 0199502 (33 #7646), http://dx.doi.org/10.1090/S0002-9947-1965-0199502-9
• [17] R. K. Miller, Almost periodic differential equations as dynamical systems with applications to the existence of A.P. solutions, J. Differential Equations 1 (1965), 337–345. MR 0185221 (32 #2690)
• [18] V. V. Nemytskii and V. V. Stepanov, Qualitative theory of differential equations, Princeton Mathematical Series, No. 22, Princeton University Press, Princeton, N.J., 1960. MR 0121520 (22 #12258)
• [19] V. V. Nemyckiĭ, Topological problems of the theory of dynamical systems, Uspehi Mat. Nauk 4 (1949), 91-153; English transl., Amer. Math. Soc. Transl. (1) 5 (1962), 414-497.
• [20] Z. Opial, Sur la dépendance des solutions d’un systéme d’équations différentielles de leurs seconds membres. Application aux systémes presque autonomes, Ann. Polon. Math. 8 (1960), 75–89 (French). MR 0113011 (22 #3852)
• [21] H. L. Royden, Real analysis, The Macmillan Co., New York, 1963. MR 0151555 (27 #1540)
• [22] George Seifert, Stability conditions for the existence of almost-periodic solutions of almost-periodic systems, J. Math. Anal. Appl. 10 (1965), 409–418. MR 0173061 (30 #3276)
• [23] G. R. Sell, Topological classification of bounded solutions, (to appear).
• [24] George R. Sell, Periodic solutions and asymptotic stability, J. Differential Equations 2 (1966), 143–157. MR 0190479 (32 #7891)
• [25] George R. Sell, Nonautonomous differential equations and topological dynamics. II. Limiting equations, Trans. Amer. Math. Soc. 127 (1967), 263–283. MR 0212314 (35 #3187b), http://dx.doi.org/10.1090/S0002-9947-1967-0212314-4

Bibliography

[1]

J. Auslander and F. Hahn, Point transitive flows, algebras of functions and the Bebutov system, (to appear). MR 0221489 (36:4541)

[2]

L. Auslander and F. Hahn, Real functions coming from flows on compact spaces and concepts of almost periodicity, Trans. Amer. Math. Soc. 106 (1963), 415-426. MR 0144325 (26:1871)

[3]

J. D. Baum, An equicontinuity condition for transformation groups, Proc. Amer. Math. Soc. 4 (1953), 656-662. MR 0056286 (15:51h)

[4]

A. Besicovitch, Almost periodic functions, Dover, New York, 1954. MR 0068029 (16:817a)

[5]

G. D. Birkhoff, Dynamical systems, Amer. Math. Soc. Colloq. Publ. Vol. 9, Amer. Math. Soc., Providence, R. I., 1927. MR 0209095 (35:1)

[6]

L. Cesari, Asymptotic behavior and stability problems in ordinary differential equations, 2nd ed., Academic Press, New York, 1963. MR 0151677 (27:1661)

[7]

L. G. Deysach and G. R. Sell, On the existence of almost periodic motions, Michigan Math. J. 12 (1965), 87-95. MR 0173064 (30:3279)

[8]

W. Gottschalk and G. Hedlund, Topological dynamics, Amer. Math. Soc. Colloq. Publ. Vol. 36, Amer. Math. Soc., Providence, R. I., 1955. MR 0074810 (17:650e)

[9]

F. Hausdorff, Die Mengen in vollständigen Räumen, Fund. Math. 6 (1924), 146-148.

[10]

E. Kamke, Differentialgleichungen reeller Funktionen, Akademische Verlagsgesellschaft, Leipzig, 1930.

[11]

-, Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II, Acta Math. 58 (1932), 57-85. MR 1555344

[12]

J. Kelley, General topology, Van Nostrand, Princeton, N. J., 1955. MR 0070144 (16:1136c)

[13]

J. P. LaSalle, Asymptotic stability criteria, Proc. Sympos. Appl. Math. Vol. 13, pp. 299-307, Amer. Math. Soc., Providence, R. I., 1962. MR 0136842 (25:303)

[14]

L. Markus, Asymptotically autonomous differential systems, Contributions to Nonlinear Oscillations, Vol. 3, Princeton Univ. Press, Princeton, N. J., 1956. MR 0081388 (18:394a)

[15]

-, The global theory of ordinary differential equations, Lecture Notes, Univ. of Minnesota, Minneapolis, 1964-1965.

[16]

R. K. Miller, Asymptotic behavior of solutions of nonlinear differential equations, Trans. Amer. Math. Soc. 115 (1965), 400-416. MR 0199502 (33:7646)

[17]

-, Almost periodic differential equations as dynamical systems with applications to the existence of a.p. solutions, J. Differential Equations 1 (1965), 337-345. MR 0185221 (32:2690)

[18]

V. V. Nemyckiĭ and V. V. Stepanov, Qualitative theory of differential equations, Princeton Univ. Press, Princeton, N. J., 1960. MR 0121520 (22:12258)

[19]

V. V. Nemyckiĭ, Topological problems of the theory of dynamical systems, Uspehi Mat. Nauk 4 (1949), 91-153; English transl., Amer. Math. Soc. Transl. (1) 5 (1962), 414-497.

[20]

Z. Opial, Sur la dépendance des solutions d'un système d'equations différentielles de leurs seconds membres. Applications aux systèmes presque autonomous, Ann. Polon. Math. 8 (1960), 75-89. MR 0113011 (22:3852)

[21]

H. L. Royden, Real analysis, Macmillan, New York, 1963. MR 0151555 (27:1540)

[22]

G. Seifert, Stability conditions for the existence of almost-periodic solutions of almost-periodic systems, J. Math. Anal. Appl. 10 (1965), 409-418. MR 0173061 (30:3276)

[23]

G. R. Sell, Topological classification of bounded solutions, (to appear).

[24]

-, Periodic solutions and asymptotic stability, J. Differential Equations 2 (1966), 143-157. MR 0190479 (32:7891)

[25]

-, Nonautonomous differential equations and topological dynamics. II. Limiting equations, Trans. Amer. Math. Soc. 127 (1967), 263-283. MR 0212314 (35:3187b)