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.
Birincil Dil | İngilizce |
---|---|
Konular | Yazılım Mühendisliği (Diğer) |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2020 |
Kabul Tarihi | 16 Haziran 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 2 Sayı: 1 |