This is the abstract of the paper "On a non-uniqueness in fragmentation models" by J. Banasiak. For the whole paper send the command get evolve-l 00-00055 to: "listserv@uni-karlsruhe.de". Instead you may get the paper at "http://ma1serv.mathematik.uni-karlsruhe.de/evolve-l/index.html" too. Abstract: Equations of fragmentation describing e.g.\ the polymer degradation, despite their apparent simplicity, have numerous non- typical features. One of them is the existence of multiple solutions. In this paper, applying classical results of Hille and Phillips, we explain their occurrence and prove that nevertheless the uniqueness holds for a large class of physically reasonable solutions. ***************************************************** Professor Jacek Banasiak Department of Mathematics and Applied Mathematics University of Natal, Durban 4041 South Africa tel:+27 31 2603000 fax:+27 31 2602632 e-mail: banasiak@scifs1.und.ac.za Internet:http://macaw.cs.und.ac.za/~banasiak ------------------ http://www.uni-karlsruhe.de/~listserv/ -------------------