On a functional equation for Dido's problem

Peter Kahlig; Janusz Matkowski

Published: 1999-09-30

Vol. 13 (1999)

On a functional equation for Dido's problem

Peter Kahlig , Janusz Matkowski

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.

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Kahlig, P., & Matkowski, J. (1999). On a functional equation for Dido’s problem. Annales Mathematicae Silesianae, 13, 167–180. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14146

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Peter Kahlig

Affiliation:

Institute of Meteorology and Geophysics, University of Vienna , Austria Austria

Janusz Matkowski

matkow@omega.im.wsp.zgora.pl

Affiliation:

Instytut Matematyki, Wyższa Szkoła Pedagogiczna im. Tadeusza Kotarbińskiego w Zielonej Górze & Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland

Vol. 13 (1999)
Published: 1999-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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