Associated Spaces Defined by Ordinary Differential Equations
Wolfgang Tutschke
Technische Universität Graz, AustriaLe Thu Hoai
Faculty of Applied Mathematics and Informatics, Hanoi, Vietnam

Abstract
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. 385–392
DOI 10.4171/ZAA/1295