Electron. J. Diff. Equ., Vol. 2011 (2011), No. 108, pp. 1-11.

Continuous solutions of distributional Cauchy problems

Seppo Heikkila

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.

Show me the PDF file (231 KB), TEX file, and other files for this article.

Seppo Heikkilä
Department of Mathematical Sciences
University of Oulu, BOX 3000
FIN-90014 University of Oulu, Finland
email: sheikki@cc.oulu.fi

Return to the EJDE web page