Book Review
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MathSciNet review:
1566815
Full text of 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.
E. A. Barbašin, Vvedenie v teoriyuustoĭ chivosti, Izdat. “Nauka”, Moscow, 1967 (Russian). MR 0224916
2. P. Bohl, Über Differentialgleichungen, J. Reine Angew. Math. 144 (1913), 284-318.
W. A. Coppel, Stability and asymptotic behavior of differential equations, D. C. Heath and Company, Boston, Mass., 1965. MR 0190463
W. A. Coppel, Almost periodic properties of ordinary differential equations, Ann. Mat. Pura Appl. (4) 76 (1967), 27–49 (English, with Italian summary). MR 221024, DOI 10.1007/BF02412227
W. A. Coppel, Dichotomies and reducibility, J. Differential Equations 3 (1967), 500–521. MR 223651, DOI 10.1016/0022-0396(67)90014-9
B. P. Demidovič, Lektsii po matematicheskoĭ teorii ustoĭchivosti, Izdat. “Nauka”, Moscow, 1967 (Russian). MR 0226126
Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
N. N. Krasovskiĭ, Nekotorye zadachi teorii ustoĭ chivosti dvizheniya, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1959 (Russian). MR 0106313
J. L. Massera and J. J. Schäffer, Linear differential equations and functional analysis. IV, Math. Ann. 139 (1960), 287–342 (1960). MR 117402, DOI 10.1007/BF01352264
José Luis Massera and Juan Jorge Schäffer, Linear differential equations and function spaces, Pure and Applied Mathematics, Vol. 21, Academic Press, New York-London, 1966. MR 0212324
Oskar Perron, Die Stabilitätsfrage bei Differentialgleichungen, Math. Z. 32 (1930), no. 1, 703–728 (German). MR 1545194, DOI 10.1007/BF01194662
- 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 0224916
- 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
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