Người báo cáo: Đặng Vũ Giang
Thời gian: 9h, thứ 6, ngày 7/11/2014
Địa điểm: Phòng 109, Nhà A5, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy Hà Nội
Tóm tắt: We study the asymptotic behavior of a bounded solution of an inhomogeneous delay linear difference equation in a Banach space by using the spectrum of bounded sequences. We get a significant extension of excellent results in [1]. A new simple proof is also found for the famous Gelfand spectral radius theorem. Moreover, among other things we prove that if the spectrum of a bounded sequence $\{x_n}_n$ is finite then $x_n=c_1\vartheta_1^n+c_2\vartheta_2^n+cdots+c_k\vartheta_k^n+o(1)$
as $ntoinfty$ where $|\vartheta_1|=|\vartheta_2|=cdots=|\vartheta_k|=1$. | 
