# ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS

• Huang, Jinghao (Department of Mathematics Sun Yat-Sen University) ;
• Jung, Soon-Mo (Mathematics Section College of Science and Technology) ;
• Li, Yongjin (Department of Mathematics Sun Yat-Sen University)
• Published : 2015.03.31

#### Abstract

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

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