This paper studies some sufficient conditions for the existence and uniqueness of a pseudo almost periodic mild solution to abstract hyperbolic differential equations with infinite delay. Applications include the existence and uniqueness of a pseudo almost periodic mild solution to the heat equation.
Submitted May 29, 2006. Published July 19, 2006.
Math Subject Classifications: 34G20, 47A55.
Key Words: Sectorial operator; analytic semigroup; infinite delay; hyperbolic semigroup; almost periodic; pseudo almost periodic; heat equation.
Show me the PDF file (223K), TEX file, and other files for this article.
| Toka Diagana |
Department of Mathematics, Howard University
2441 6th Street N.W., Washington D.C. 20059, USA
Return to the EJDE web page