Journal of Inequalities and Applications 
Volume 5 (2000), Issue 5, Pages 497-504
doi:10.1155/S102558340000028X

On a generalization of the Osgood condition

W. Mydlarczyk1 and W. Okrasiński2

1lnstitute of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, Wrocław 50-384, Poland
2lnstitute of Mathematics, Technical University of Zielona Góra, ul. Podgórna 50, Zielona Góra 65-246, Poland

Received 2 June 1999; Revised 15 August 1999

Abstract

In this paper a generalization of the famous uniqueness Osgood condition is given. This new result is important for many applications.