Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 108, pp. 1-11.

Title: Continuous solutions of distributional Cauchy problems
       
Author: Seppo Heikkila (Univ. of Oulu, Finland)

Abstract:
 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.