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Book Review

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Book Information:

Authors: 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 [Enhancements On Off] (What's this?)

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  • 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. Oskar Perron, Die Stabilitätsfrage bei Differentialgleichungen, Math. Z. 32 (1930), no. 1, 703–728 (German). MR 1545194, https://doi.org/10.1007/BF01194662

Review Information:

Reviewer: Juan Jorge Schäffer
Journal: Bull. Amer. Math. Soc. 81 (1975), 1024-1028
DOI: https://doi.org/10.1090/S0002-9904-1975-13890-0
American Mathematical Society