On Gronwall's inequality

Authors:
S. C. Chu and F. T. Metcalf

Journal:
Proc. Amer. Math. Soc. **18** (1967), 439-440

MSC:
Primary 45.40

DOI:
https://doi.org/10.1090/S0002-9939-1967-0212529-0

MathSciNet review:
0212529

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References | Similar Articles | Additional Information

**[1]**T. H. Gronwall,*Note on the derivatives with respect to a parameter of the solutions of a system of differential equations*, Ann. of Math. (2)**20**(1919), 292-296. MR**1502565****[2]**E. A. Coddington and N. Levinson,*Theory of ordinary differential equations*, McGraw-Hill, New York, 1955. MR**0069338 (16:1022b)****[3]**G. S. Jones,*Fundamental inequalities for discrete and discontinuous functional equations*, J. Soc. Indust. Appl. Math.**12**(1964), 43-57. MR**0162069 (28:5271)****[4]**D. Willett,*A linear generalization of Gronwall's inequality*, Proc. Amer. Math. Soc.**16**(1965), 774-778. MR**0181726 (31:5953)****[5]**D. L. Hanson and Paul Waltman,*A note on a functional equation*, J. Math. Anal. Appl.**10**(1965), 330-333. MR**0173872 (30:4079)**

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DOI:
https://doi.org/10.1090/S0002-9939-1967-0212529-0

Article copyright:
© Copyright 1967
American Mathematical Society