Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502671 | Journal of Mathematical Analysis and Applications | 2005 | 8 Pages |
Abstract
Let X be a complex Banach space and let I=(a,b) be an open interval. In this paper, we will prove the generalized Hyers-Ulam stability of the differential equation tyâ²(t)+αy(t)+βtrx0=0 for the class of continuously differentiable functions f:IâX, where α, β and r are complex constants and x0 is an element of X. By applying this result, we also prove the Hyers-Ulam stability of the Euler differential equation of second order.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Soon-Mo Jung,