Huang, Jinghao; Jung, Soon-Mo; Li, Yongjin On Hyers-Ulam stability of nonlinear differential equations. (English) Zbl 1370.34098 Bull. Korean Math. Soc. 52, No. 2, 685-697 (2015). 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. Cited in 12 Documents MSC: 34D10 Perturbations of ordinary differential equations 34D20 Stability of solutions to ordinary differential equations Keywords:Hyers-Ulam stability; generalized Hyers-Ulam stability; nonlinear differential equations; fixed point theorem PDF BibTeX XML Cite \textit{J. Huang} et al., Bull. Korean Math. Soc. 52, No. 2, 685--697 (2015; Zbl 1370.34098) Full Text: DOI Link