Jung, Soon-Mo A fixed point approach to the stability of differential equations \(y'=F(x,y)\). (English) Zbl 1184.26012 Bull. Malays. Math. Sci. Soc. (2) 33, No. 1, 47-56 (2010). Summary: Using a fixed point method, the Hyers-Ulam-Rassias stability will be proved for the differential equations of the form \(y^\prime (x) = F(x, y(x))\). Cited in 25 Documents MSC: 26D10 Inequalities involving derivatives and differential and integral operators 34A40 Differential inequalities involving functions of a single real variable 47N20 Applications of operator theory to differential and integral equations 47H10 Fixed-point theorems Keywords:fixed point method; differential equation; Hyers-Ulam-Rassias stability; Hyers-Ulam stability PDF BibTeX XML Cite \textit{S.-M. Jung}, Bull. Malays. Math. Sci. Soc. (2) 33, No. 1, 47--56 (2010; Zbl 1184.26012) Full Text: Link EuDML