Alexander Carrasco, Hugo Leiva
This paper presents a variation of constants formula for the system of functional parabolic partial differential equations
Here is a bounded domain in , the matrix is block diagonal with semi-simple eigenvalues having non negative real part, the operator is bounded and linear, the delay in time is bounded, and the standard notation is used.
Submitted July 2, 2007. Published October 5, 2007.
Math Subject Classifications: 34G10, 35B40.
Key Words: Functional partial parabolic equations; variation of constants formula; strongly continuous semigroups.
Show me the PDF file (267 KB), TEX file, and other files for this article.
| Alexander Carrasco |
Universidad Centroccidental Lisandro Alvarado
Decanato de Ciencias, Departamento de Matemática
Barquisimeto 3001, Venezuela
| Hugo Leiva |
Universidad de los Andes
Department of Mathemátics
Mérida 5101, Venezuela
Return to the EJDE web page