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Stability result for an abstract time delayed evolution equation with arbitrary decay of viscoelasticity

Houria CHELLAOUA [1]

In this paper, we consider a second-order abstract semilinear evolution equation with past
history and time delay. Under suitable conditions on initial data and the kernel memory function, we prove the well-posedness 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.

Abstract evolution equation, Past history, Time delay
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Primary Language en Computer Science, Interdisciplinary Application Articles Orcid: 0000-0001-7388-0481Author: Houria CHELLAOUA (Primary Author)Country: Algeria Publication Date : June 30, 2020
 Bibtex @conference paper { pims613455, journal = {Proceedings of International Mathematical Sciences}, issn = {2717-6355}, 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} }`

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