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"Let\mathbf{K}:=\mathbf{R}\text{ or }\mathbf{C},\text{ \ }0&lt;\lambda &lt;1andf \in C([0,b] \times \textbf{K}^3,\textbf{K}).In this paper we use the weakly Picard operator theory technique to study the following functional-differential equation $$ y'(x)=f(x,y(x),y'(x),y(\lambda x)),  x \in [0,b].$$   "

Implicit functional differential equations with linear modification of the argument, via weakly Picard operator theory