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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The Cauchy problem for a first order system of abstract operator equations
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by James A. Donaldson PDF
Bull. Amer. Math. Soc. 81 (1975), 576-578
References
  • Robert Carroll, On some hyperbolic equations with operator coefficients, Proc. Japan Acad. 49 (1973), 233–238. MR 370229
  • 2. R. Carroll, Growth theorems for some hyperbolic equations with operator coefficients (to appear).
  • J. A. Donaldson, The abstract Cauchy problem, J. Differential Equations 25 (1977), no. 3, 400–409. MR 454219, DOI 10.1016/0022-0396(77)90053-5
  • 4. I. M. Gel’fand and G. E. Šilov, Fourier transforms of rapidly increasing functions and questions of the uniqueness of the solution of Cauchy’s problem, Uspehi Mat. Nauk 8 (1953), no. 6 (58), 3-54; English transl., Amer. Math. Soc. Transl. (2) 5 (1957), 221-274. MR 15, 867; 18, 736.
  • Reuben Hersh, Explicit solution of a class of higher-order abstract Cauchy problems, J. Differential Equations 8 (1970), 570–579. MR 270210, DOI 10.1016/0022-0396(70)90030-6
  • Einar Hille, Une généralisation du problème de Cauchy, Ann. Inst. Fourier (Grenoble) 4 (1952), 31–48 (1954) (French). MR 60731, DOI 10.2307/272973
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 81 (1975), 576-578
  • MSC (1970): Primary 47A50, 47F05; Secondary 35G10, 35L55, 47D10, 46F10
  • DOI: https://doi.org/10.1090/S0002-9904-1975-13743-8
  • MathSciNet review: 0419968