Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12128/14072| Title: | On a functional equation for Dido's problem |
| Authors: | Kahlig, Peter Matkowski, Janusz |
| Keywords: | Dido functional equation; functional equation |
| Issue Date: | 1999 |
| Citation: | Annales Mathematicae Silesianae, Nr 13 (1999), s. 167-180 |
| Abstract: | By some geometrical considerations we formulate a functional equation which is related to the ancient isoperimetric problem of Dido. The continuous solution of this Dido functional equation depends on an arbitrary function. However, we show that in a class of functions of suitable asymptotic behavior at infinity, the Dido functional equation has a one-parameter family of "principal" solutions. Some applications are given. |
| URI: | http://hdl.handle.net/20.500.12128/14072 |
| ISSN: | 0860-2107 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Kahlig_On_a_functional_equation.pdf | 644,15 kB | Adobe PDF | View/Open |
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