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On Hyers-Ulam stability of nonlinear differential equations. (English) Zbl 1370.34098
Summary: We investigate the stability of nonlinear differential equations of the form $$y^{(n)}(x) = F(x, y(x), y^\prime(x), \ldots, y^{(n-1)}(x))$$ with a Lipschitz condition by using a fixed point method. Moreover, a Hyers-Ulam constant of this differential equation is obtained.

##### MSC:
 34D10 Perturbations of ordinary differential equations 34D20 Stability of solutions to ordinary differential equations
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