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A fixed point approach to the stability of differential equations \(y'=F(x,y)\). (English) Zbl 1184.26012
Summary: Using a fixed point method, the Hyers-Ulam-Rassias stability will be proved for the differential equations of the form \(y^\prime (x) = F(x, y(x))\).

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
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