Article ID Journal Published Year Pages File Type
9502671 Journal of Mathematical Analysis and Applications 2005 8 Pages PDF
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 ty′(t)+αy(t)+βtrx0=0 for the class of continuously differentiable functions f:I→X, 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
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