Abstract and Applied Analysis
Volume 2009 (2009), Article ID 537963, 8 pages
doi:10.1155/2009/537963
On approximate Euler differential equations
Soon-Mo Jung1
and Seungwook Min2
1Mathematics Section, College of Science and Technology, Hong-Ik University, Chochiwon 339-701, South Korea
2Division of Computer Science, Sangmyung University, 7 Hongji-dong, Jongno-gu, Seoul 110-743, South Korea
Abstract
We solve the inhomogeneous Euler differential equations of the form x2y′′(x)+αxy′(x)+βy(x)=∑m=0∞amxm and apply this result to the approximation of analytic functions of a special type by the solutions of Euler differential equations.