Mathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, South Korea
Copyright © 2010 Soon-Mo Jung. 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.
We solve the inhomogeneous differential equation of the form , where is a nonnegative integer, and apply this result to the proof of a local
Hyers-Ulam stability of the differential equation in a special class of analytic functions.