We investigate the stability of nonlinear differential equations of the form <TEX>y⁽ⁿ⁾(x)=F(x,y(x),y^(x),⋯,y⁽ⁿ⁻¹⁾(x))</TEX> with a Lipschitz condition by using a fixed point method. Moreover, a Hyers-Ulam constant of this differential equation is obtained.
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Huang et al. (2015) studied this question.
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