We present a general method for investigation of the Hyers-Ulam stability of linear equations (differential, difference, functional, integral) of higher orders.It is shown that in many cases, that kind of stability for such equations is a consequence of a similar property of the corresponding first-order equations.Some particular examples of applications for differential, integral, difference and functional equations are described.The method is based on some fixed-point results that are proved in this paper.
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Xu et al. (2015) studied this question.
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