Global Attractivity for Non-Autonomous Linear Delay Systems

MR2075286 Joseph W.-H. SO, X. H. TANG and Xingfu ZOU Joseph W.-H. SO, X. H. TANG and Xingfu ZOU Global Attractivity for Non-Autonomous Linear Delay Systems Funkcialaj Ekvacioj. Serio Internacia 47 2004 25--40 http://fe.math.kobe-u.ac.jp/FE/FullPapers/47-1/47_25.pdf http://www.ams.org/mathscinet-getitem?mr=MR2075286 In this paper, we study the asymptotic behavior of solutions of a non-autonomous delay differential system. It is shown that every solutions tends to zero provided a certain matrix derived from the coefficients and the delays of the system is a $M$-matrix. Asymptotic behavior, Non-autonoumous delay linear system, $M$-matrix. Primary 34K20; Secondary 34K06. 47-25 2004 Global Attractivity for Non-Autonomous Linear Delay Systems Joseph W.-H. SO, X. H. TANG and Xingfu ZOU Joseph W.-H. SO, X. H. TANG and Xingfu ZOU 1 Fiedler, M. Special matrices and their applications in numerical mathematics Martinus Nijhoff Publ. (Kluwer), Dordrecht 1986 MR1105955 2 Gopalsamy, K. Stability and oscillations in delay differential equations of population dynamics Kluwer Academic Publishers, Boston 1992 MR1163190

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