In this paper, we consider a secondorder abstract semilinear evolution equation with past
history and time delay. Under suitable conditions on initial data and the kernel memory function, we prove the wellposedness by using the semigroup arguments. The stability result is
also established defining a suitable Lyapunov functional. This work extends previous works
with time delay for a much wider class of kernels. Some applications are also given to illustrate
the result.
Primary Language  en 

Subjects  Computer Science, Interdisciplinary Application 
Journal Section  Articles 
Authors 

Dates 
Publication Date : June 30, 2020 
Bibtex  @conference paper { pims613455,
journal = {Proceedings of International Mathematical Sciences},
issn = {27176355},
address = {Maltepe University, Istanbul},
publisher = {İbrahim ÇANAK},
year = {2020},
volume = {2},
pages = {7  25},
doi = {},
title = {Stability result for an abstract time delayed evolution equation with arbitrary decay of viscoelasticity},
key = {cite},
author = {Chellaoua, Houria}
} 