ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS
ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS
We investigate the stability of nonlinear differential equations of the form <TEX>$y^{(n)}(x)=F(x,y(x),y^{\prime}(x),{\cdots},y^{(n-1)}(x))$</TEX> with a Lipschitz condition by using a fixed point method. Moreover, a Hyers-Ulam constant of this differential equation is obtained.