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