The classical existence theorem of nonlinear analytic differential equations

Author:
Earl A. Coddington

Journal:
Proc. Amer. Math. Soc. **1** (1950), 738-743

MSC:
Primary 36.0X

DOI:
https://doi.org/10.1090/S0002-9939-1950-0039125-X

MathSciNet review:
0039125

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**[1]**A. S. Besicovitch,*Almost periodic functions*, Cambridge, 1932.**[2]**E. A. Coddington and A. Wintner,*On the classical existence theorem of analytic differential equations*, Amer. J. Math. vol. 71 (1949) pp. 886-892. MR**0033926 (11:516d)****[3]**P. Hartman and A. Wintner,*On the classical existence theorem of linear differential equations*, ibid. vol. 71 (1949) pp. 859-864. MR**0033925 (11:516c)****[4]**A. Wintner,*On the exact value of the bound for the regularity of solutions of ordinary differential equations*, ibid. vol. 57 (1935) pp. 539-540. MR**1507092****[5]**-,*On implicit analytic systems*, Comment. Math. Helv. vol. 23 (1949) pp. 294-302. MR**0032781 (11:345d)**

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DOI:
https://doi.org/10.1090/S0002-9939-1950-0039125-X

Article copyright:
© Copyright 1950
American Mathematical Society