ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS

Title & Authors
ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS
Huang, Jinghao; Jung, Soon-Mo; Li, Yongjin;

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