Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper, we consider the following second-order abstract semilinear evolution equation with past history and time delay, where A, B and C be a linear operators. F is a nonlinear function satisfying some conditions. Under suitable conditions on initial data and the kernel memory function h, we prove the well-posedness by using the semigroup arguments. The stability result is also established defining a suitable Lyapunov functional for a larger class of kernels. Some applications are also given.
Açıklama
Anahtar Kelimeler
Abstract evolution equation, Past history, Time delay
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Chellaoua, H. ve Boukhatem, Y. (2019). Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity. International Conference of Mathematical Sciences (ICMS 2019). s. 182.
