This is the abstract of the paper "Evolution Equations with Non-Linear Constitutive Laws and Memory Effects" by Albert Milani and Rainer Picard. For the whole paper send the command get evolve-l 00-00041 to: "listserv@uni-karlsruhe.de". Instead you may get the paper at "http://ma1serv.mathematik.uni-karlsruhe.de/evolve-l/index.html" too. Abstract: Evolution equations are considered as operator equations involving a sum of the time-derivative operator \( \partial _{0} \) regarded as a normal operator in a suitable Hilbert space setting and another fairly arbitrary spatial operator \( A \) acting in a Hilbert space \( H \). As an extension of the linear theory the case of a class of non-linear constitutive laws with memory effects is considered. Classification: 47D06, 44A05 Albert Milani Department of Mathematics University of Wisconsin -- Milwaukee P.O.Box 413, Milwaukee, WI 53201, USA e-mail: ajmilani@uwm.edu Rainer Picard Institut f\"{u}r Analysis Technische Universit\"{a}t Dresden ------------------ http://www.uni-karlsruhe.de/~listserv/ -------------------