Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 89402, 8 pages
doi:10.1155/JIA/2006/89402
Approximate solutions of the generalized Gołąb-Schinzel equation
Department of Mathematics, University of Rzeszów, Aleja Rejtana 16 C, Rzeszów 35-959, Poland
Received 24 March 2006; Revised 12 July 2006; Accepted 28 July 2006
Copyright © 2006 Jacek Chudziak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Motivated by the problem of R. Ger, we show that the generalized Gołąb-Schinzel equation is superstable in the class of functions
hemicontinuous at the origin. As a consequence, we obtain the form of approximate solutions of that equation.