## Hyers-Ulam Stability of Nonhomogeneous Linear Differential Equations of Third Order

**LIU Hui-min;ZHAO Xiang-kui;Department of Mathematics and Mechanics,School of Applied Science,University of Science and Technology Beijing;**

In this paper,we consider the Hyers-Ulam Stability of differential equations of third order y'" + p(x)y" + q(x)y'+ r(x)y + f(x) = 0,that is,if f is an approximate solution of the equation,then there exists an exact solution of the equation near to f,at last simple example is given to demonstrate the applicability of our results.

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