×

Analytic solutions of a functional differential equation with state dependent argument. (English) Zbl 0892.30023

The authors determine the analytic solutions of the functional differential equation \(x'(z)=x (ax+bx(z))\) where \(a\neq 1\) and \(b\neq 0\) are fixed complex numbers.

MSC:

30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
34K25 Asymptotic theory of functional-differential equations
PDF BibTeX XML Cite
Full Text: DOI