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
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