Stability of Generalized Euler Differential Equations of First Order with Variable Coefficients

Zhihua Wang, Themistocles M Rassias

Abstract

In this paper, using the method of the exponential dichotomy of fundamental solution matrix, we prove the Hyers-Ulam stability of generalized Euler differential equations of first order with variable coefficients. Our results can be applied to Euler differential equations of first order so that the related results by S.-M. Jung, B. Kim and Th. M.Rassias [On the Hyers-Ulam stability of a system of Euler differential equations of first order, Tamsui Oxford J. Math. Sci. 24(2008): 381-388] are generalized.