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Book Review
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Book Information
Author(s):
Ju. L. Daleckii and M. G. Kreĭn
Title:
Stability of solutions of differential equations in Banach space
Additional book information:
Translations of Mathematical Monographs, Volume 43, American Mathematical Society, Providence, Rhode Island, 1974, vi + 386 pp. $36.40
References:
- 1.
- E. A. Barbašin, Introduction to the theory of stability, "Nauka", Moscow, 1967; English transl., Wolters-Noordhoff, Groningen, 1970. MR 37 #515; 41 #8737. MR 224916
- 2.
- P. Bohl, Über Differentialgleichungen, J. Reine Angew. Math. 144 (1913), 284-318.
- 3.
- W. A. Coppel, Stability and asymptotic behavior of differential equations, Heath, Boston, Mass., 1965. MR 32 #7875. MR 190463
- 4.
- W. A. Coppel, Almost periodic properties of ordinary differential equations, Ann. Mat. Pura Appl. (4) 76 (1967), 27-49. MR 36 #4076. MR 221024
- 5.
- W. A. Coppel, Dichotomies and reducibility, J. Differential Equations 3 (1967), 500-521. MR 36 #6699. MR 223651
- 6.
- B. P. Demidovič, Lectures on the mathematical theory of stability, "Nauka", Moscow, 1967. (Russian) MR 37 #1716. MR 226126
- 7.
- P. Hartman, Ordinary differential equations, Wiley, New York, 1964. MR 30 #1270. MR 171038
- 8.
- N. N. Krasovskiĭ, Certain problems in the theory of stability of motion, Fizmatgiz, Moscow, 1959; English transl., Stability of motion. Application of Lyapunov's second method to differential systems and equations with delay, Stanford Univ. Press, Stanford, Calif., 1963. MR 21 #5047; 26 #5258. MR 106313
- 9.
- J. L. Massera and J. J. Schäffer, Linear differential equations and functional analysis. IV, Math. Ann. 139 (1960), 287-342. MR 22 #8181. MR 117402
- 10.
- J. L. Massera and J. J. Schäffer, Linear differential equations and function spaces, Pure and Appl. Math., vol. 21, Academic Press, New York, 1966. MR 35 #3197. MR 212324
- 11.
- O. Perron, Die Stabilitätsfrage bei Differentialgleichungen, Math. Z. 32 (1930), 703-728. MR 1545194
Additional Information:
Reviewer(s):
Juan Jorge
Schäffer
Review Information:
Journal:
Bull. Amer. Math. Soc.
81
(1975),
1024-1028.
DOI:
10.1090/S0002-9904-1975-13890-0
PII:
S 0002-9904(1975)13890-0
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