# zbMATH — the first resource for mathematics

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
Full Text: