| S-integral and Gronwall's Inequality |
| Received:March 10, 2003 |
| Key Words:
S-integral Gronwall-Bellman's inequality
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| Fund Project:the National Natural Science Foundation of China (10171035) and the Natural Science Foundation of Gansu Province (ZS021-A25-004-Z). |
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| Abstract: |
| The S-integral is a generalized integral of Riemann type which is defined in terms of the Thomson's local systems. In this note we prove Gronwall-Bellman's inequality for the S-integral. As special cases we also obtain Gronwall-Bellman's inequalities for the Henstock integral and the Burkill approximately continuous integral. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2005.03.004 |
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