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

Let
$\mathbf{K}:=\mathbf{R}\text{ or }\mathbf{C},\text{ \ }0<\lambda <1$
and
$f \in C([0,b] \times \textbf{K}^3,\textbf{K}).$

In this paper we use the weakly Picard operator theory technique to study the following functional-differential equation

$\begin{equation*} y'(x)=f(x,y(x),y'(x),y(\lambda x)), x \in [0,b]. \end{equation*}$

Additional Information

Author(s)	Mureşan, Anton S., Mureşan, Viorica
DOI	https://doi.org/10.37193/CJM.2021.02.09