An integrating factor approach to the Hyers-Ulam stability of a class of exact differential equations of second order

Volume 9, Issue 5, pp 2520--2526 http://dx.doi.org/10.22436/jnsa.009.05.50

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Authors

Yonghong Shen - School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, P. R. China.

Abstract

Using the integrating factor method, this paper deals with the Hyers-Ulam stability of a class of exact differential equations of second order. As a direct application of the main result, we also obtain the Hyers-Ulam stability of a special class of Cauchy-Euler equations of second order.

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Keywords

• Integrating factor method
• Hyers-Ulam stability
• exact differential equation
• Cauchy-Euler equation.

MSC

•  34D20
•  34G10

References

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