The paper deals with initial value problems for desired functions depending on the time and one spacelike variable . In case the initial function satisfies an associated (ordinary) differential equation, the solution satisfies the associated differential equation for each . If the general solution of the associated differential equation is known, one gets a system of ordinary differential equations for the desired coefficients depending on . In any case, the solution can be obtained as fixed point of a related integro-differential operator.
Cite this article
Wolfgang Tutschke, Le Thu Hoai, Associated Spaces Defined by Ordinary Differential Equations. Z. Anal. Anwend. 25 (2006), no. 3, pp. 385–392DOI 10.4171/ZAA/1295