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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): A. M. Fink
Title: Almost periodic differential equations
Additional book information: Lecture Notes in Mathematics, No. 377. Springer-Verlag, Berlin, Heidelberg, New York, 1974, vii+336 pp.

Author(s): R. Reissig, G. Sansone and R. Conti
Title: Nonlinear differential equations of higher order
Additional book information: Noordhoff, Leyden, 1974, xiii+669 pp.

Author(s): J. K. Hale
Title: Functional differential equations
Additional book information: Applied Mathematical Sciences, No. 3. Springer-Verlag, New York, Heidelberg, Berlin, 1971, viii+238 pp.


References:

1.
V. I. Arnol'd, Proof of a theorem of A. N. Kolmogorov on the preservation of quasiperiodic motions under a small perturbation of the Hamiltonian, Uspehi Mat. Nauk 18 (1963), no. 5 (113), 13-40 = Russian Math. Surveys 18 (1963), no. 5, 9-36. MR 29 #328. MR 163025
2.
R. E. Bellman and K. L. Cooke, Differential-differénce equations, Academic Press, New York, 1963. MR 26 #5259; erratum, 27, p. 1399. MR 146481
3.
G. D. Birkhoff, Collected mathematical papers. Vol. 1, Amer. Math. Soc. Providence, R. I., 1950; reprint, Dover, New York, 1968, pp. 654-751; Vol. 2, pp. 111-229, 283-332, 530-661. MR 38 #4271a, b.
4.
G. D. Birkhoff, Collected mathematical papers. Vol. 2, Amer. Math. Soc., Providence, R.I., 1950; reprint, Dover, New York, 1968, pp. 295-332, 360-394, 398-408, 462-465, 713-717. MR 38 #427 1b.
5.
G. D. Birkhoff, Collected mathematical papers. Vol. 2, Amer. Math. Soc. Providence, R.I., 1950; reprint, Dover, New York, 1968, pp. 710-712. MR 38 #4271b.
6.
G. D. Birkhoff, Collected mathematical papers. Vol. 2, Amer. Math. Soc. Providence, R.I., 1950; reprint, Dover, New York, 1968, pp. 295-332. MR 38 #4271b.
7.
S. Bochner, Beiträge zur Theorie der fastperiodischen Funktionen. I, Math. Ann. 96 (1927), 119-147. MR 1512308
8.
S. Bochner, A new approach to almost periodicity, Proc Nat. Acad. Sci. U.S.A. 48 (1962), 2039-2043. MR 26 #2816. MR 145283
9.
H. Bohr, Zur Theorie der fastperiodischen Funktionen. I, II, III, Acta Math. 45 (1924), 29-127; 46 (1925), 101-214; 47 (1926), 237-281. MR 1555216
10.
M. L. Cartwright, Almost periodic flows and solutions of differential equations, Proc. London Math. Soc (3) 17 (1967), 355-380; corrigenda, ibid. (3) 17 (1967), 768. MR 36 #6697. MR 223649
11.
M. L. Cartwright, Almost periodic differential equations and almost periodic flows, J. Differential Equations 5 (1969), 167-181. MR 39 #548. MR 239191
12.
L. Cesari, Asymptotic behavior and stability problems in ordinary differential equations, Ergebnisse der Mathematik und ihrer Grenzgebiete; N.F., Heft 16, Springer-Verlag, Berlin, 1959. MR 22 #9673. MR 118904
13.
J. Favard, Leçons sur les fonctions presque-périodiques, Gauthier-Villars, Paris, 1933.
14.
P. Franklin, Almost periodic recurrent motions, Math. Z. 30 (1929), 325-331. MR 1545065
15.
W. Hahn, Stability of motion, Die Grundlehren der math. Wissenschaften, Band 138, Springer-Verlag, New York, 1967. MR 36 #6716. MR 223668
16.
E. Hewitt and K. A. Ross, Abstract harmonic analysis. Vols. I, II, Die Grundlehren der math. Wissenschaften, Bände 115, 152, Academic Press, New York; Springer-Verlag, Berlin, 1963, 1970. MR 28 #158; 41 #7378; erratum, 42, p. 1825. MR 262773
17.
E. L. Ince, Ordinary differential equations, Dover, New York, 1956. MR 6, 65. MR 10757
18.
A. N. Kolmogorov, On conservation of quasi-periodic motions for a small change in Hamilton's function, Dokl. Akad. Nauk SSSR 98 (1954), 527-530. (Russian) MR 16, 924. MR 68687
19.
E. R. van Kampen, Almost periodic functions and compact groups, Ann. of Math. 37 (1936), 78-91. MR 1503270
20.
J. P. LaSalle and S. Lefschetz, Stability by Liapunov's direct method, with applications, Math. in Sci. and Engineering, vol. 4, Academic Press, New York, 1961. MR 24 #A2712.
21.
W. Maak, Fastperiodische Funktionen, 2nd ed., Die Grundlehren der math. Wissenschaften, Band 61, Springer-Verlag, Berlin and New York, 1967. MR 35 #5860. MR 215015
22.
R. K. Miller and G. R. Sell, Topological dynamics and its relation to integral equations and nonautonomous systems, Proc Conf. on Dynamical Systems, Providence, August, 1974 (to appear). MR 650822
23.
J. K. Moser, Convergent series expansions for quasi-periodic motions, Math. Ann. 169 (1967), 136-176. MR 34 #7888. MR 208078
24.
V. V. Nemyckiĭ and V. V. Stepanov, Qualitative theory of differential equations, OGIZ, Moscow, 1947; English transl., Princeton Math. Ser., no. 22, Princeton Univ. Press, Princeton, N.J., 1960. MR 10, 612; 22 #12258. MR 29483
25.
J. von Neumann, Almost periodic functions in a group. I, Trans. Amer. Math. Soc. 36 (1934), 445-492. MR 1501752
26.
L. S. Pontrjagin, Continuous groups, GITTL, Moscow, 1938; English transl., Topological groups, Princeton Math. Ser., no. 2, Princeton Univ. Press, Princeton, N.J., 1939. MR 1, 44.
27.
R. Reissig, G. Sansone and R. Conti, Qualitative Theorie nichtlinearer Differentialgleichungen, Edizioni Cremonese, Rome, 1963. MR 28 #1347. MR 158121
28.
G. R. Sell, Topological dynamics and ordinary differential equations, Van Nostrand Reinhold, London, 1971. MR 442908
29.
G. R. Sell, Topological dynamical techniques for differential and integral equations, Ordinary Differental Equations, Academic Press, New York, 1972, pp. 287-304. MR 419902


Additional Information:

Reviewer(s):
George R. Sell

Review Information:
Journal: Bull. Amer. Math. Soc. 82 (1976), 198-207.
DOI: 10.1090/S0002-9904-1976-13985-7
PII: S 0002-9904(1976)13985-7




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