On Hyers-Ulam stability of nonlinear differential equations

摘要

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