Existence of the smallest, greatest, minimal, maximal and unique continuous solutions to distributional Cauchy problems, as well as their dependence on the data, are studied. The main tools are a continuous primitive integral and fixed point results in function spaces.
Submitted February 28, 2011. Published August 25, 2011.
Math Subject Classifications: 26A24, 26A39, 34A12, 34A36, 47B38, 47H07, 58D25.
Key Words: Distribution; primitive integral; continuous; Cauchy problem; fixed point; smallest solution; greatest solution; minimal solution; maximal solution.
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| Seppo Heikkilä |
Department of Mathematical Sciences
University of Oulu, BOX 3000
FIN-90014 University of Oulu, Finland
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