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Book Review
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Book Information
Author(s):
B. M. Levitan and V. V. Zhikov
Title:
Almost periodic functions and differential equations
Additional book information:
Cambridge University Press, New York, 1983, x + 211 pp., $34.50. ISBN 0-5212-4407-2
References:
- 1.
- H. Bohr and O. Neugebauer, Über lineare Differentialgleichungen mit konstanten Koeffizienten und Fastperiodischer recter Seite, Nachr. Ges. Wiss. Gottingen, Math.-Phys. Klasse, 1926, pp. 8-22.
- 2.
- S. Bochner, A new approach to almost periodicity, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 2039-2043. MR 145283
- 3.
- S. Bochner, Beiträge zu theorie der Fastperiodischer Funktioner. I, Math. Ann. 96 (1927), 119-147. MR 1512308
- 4.
- R. K. Miller, Almost periodic differential equations as dynamical systems with applications to the existence of almost periodic solutions, J. Differential Equations 1 (1965), 337-345. MR 185221
- 5.
- V. M. Millionshchikov, Recurrent and almost periodic trajectories of nonautonomous systems of differential equations, Dokl. Akad. Nauk SSSR 161 (1965), 43-45; English transl., Soviet Math. Dokl. 7, 534-538. MR 173835
- 6.
- G. Sell, Lectures on topological dynamics and differential equations, Van Nostrand Reinhold, London, 1971. MR 442908
- 7.
- J. Favard, Sur les équationes différentielles a coefficients presque-périodiques, Acta Math. 51 (1927), 95-112.
- 8.
- L. Amerio and G. Prouse, Almost periodic functions and functional equations, Van Nostrand, New York, 1955. MR 275061
- 9.
- L. Amerio, Soluzioni quasi-periodiche, o limitate, di sistemi differenzali non lineari quasiperiodiche, o limitate, Ann. Mat. Pura Appl. (4) 39 (1955), 97-119. MR 79687
- 10.
- T. Yoshizawa, Staiblity theory and the existence of periodic solutions and almost periodic solutions, Appl. Math. Sci., vol. 14, Springer-Verlag, New York, 1975. MR 466797
- 11.
- J. Moser, Stable and random notions in dynamical systems, Ann. of Math. Studies, no. 77, Princeton Univ. Press, Princeton, N.J., 1973. MR 442980
- 12.
- G. Sell and R. Sacker, Existence of dichotomies and invariant splittings for linear differential systems. III, J. Differential Equations 22 (1976), 497-522. MR 440621
- 13.
- R. Johnson, A linear almost periodic equation with an almost automorphic solution, Proc. Amer. Math. Soc. 82 (1981), 199-205. MR 609651
- 14.
- N. Bogolyubov, O nekotorykh statisticheskikh methodakh v matematicheskoĭ fizike (On some statistical methods in mathematical physics), Akad. Nauk Ukrainskoĭ SSR, 1945.
Additional Information:
Reviewer(s):
A. M.
Fink
Review Information:
Journal:
Bull. Amer. Math. Soc.
10
(1984),
301-305.
DOI:
10.1090/S0273-0979-1984-15258-3
PII:
S 0273-0979(1984)15258-3
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