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

Küçük Resim

Dosyalar

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Tarih

2019

Yazarlar

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

info:eu-repo/semantics/openAccess
CC0 1.0 Universal

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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

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.

Bağlantı

https://hdl.handle.net/20.500.12415/5299

Koleksiyon

Matematik Bölümü Koleksiyonu