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http://dx.doi.org/10.4134/BKMS.2015.52.2.685

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.2, 2015 , pp. 685-697 More about this Journal
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.
Keywords
Hyers-Ulam stability; generalized Hyers-Ulam stability; nonlinear differential equations; fixed point theorem;
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Times Cited By KSCI : 2  (Citation Analysis)
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