IJPAM: Volume 34, No. 1 (2007)

ON HOMEOMORPHIC SOLUTIONS OF THE SCHRÖDER
EQUATION IN BANACH SPACES

Janusz Walorski
Department of Mathematics
University of Silesia
14 Bankowa St., Katowice, 40-007, POLAND
e-mail: walorski@ux2.math.us.edu.pl


Abstract.The problem of the existence and uniqueness of continuous and homeomorphic solutions of the Schröder equation defined on Banach spaces is examined.

Received: October 30, 2006

AMS Subject Classification: 39B12, 39B52

Key Words and Phrases: Schröder functional equation, Grobman-Hartman Theorem

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 1