p. 233 - 240 Nonuniform instability for evolution families R. Mueşan Received: January 31, 2012; Accepted: May 7, 2012 Abstract. The aim of this paper is to study the relationship between the notions of nonuniform exponential instability for evolutionary processes and admissibility of the pair of spaces (C00 ( R+, X), C(R+, X)). The evolutionary processes considered are the most general in the sense that they do not require uniform or nonuniform growth. A necessary condition for expansiveness of the evolutionary processes is given. Keywords: evolutionary process; nonuniform instability; Perron problem AMS Subject classification: Primary: 34D05, 34D09 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2011, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |