ON THE WAVE EQUATION WITH A TEMPORAL NON-LOCAL TERM

TitleON THE WAVE EQUATION WITH A TEMPORAL NON-LOCAL TERM
Publication TypeJournal Article
Year of Publication2007
AuthorsMEDJDEN MOHAMED, TATAR NASSER-EDDINE
JournalDynamic Systems and Applications
Volume16
Start Page665
Pagination7
Date Published2007
ISSN1056-2176
AMS Subject Classification35B40, 35L20, 45K05
Abstract

This paper is concerned with the asymptotic behavior for an integro-differential equation which appears in viscoelasticity. It is proved that the energy of the system decays exponentially to zero as time goes to infinity provided that the kernel in the memory term is also exponentially decaying. New assumptions are discussed.
PDFhttps://acadsol.eu/dsa/articles/16/665-672-DSA-026.pdf
Refereed DesignationRefereed