MR2867016 L. BEREZANSKY, E. BRAVERMAN and A. DOMOSHNITSKY L. BEREZANSKY, E. BRAVERMAN and A. DOMOSHNITSKY On Nonoscillation of Systems of Delay Equations Funkcialaj Ekvacioj. Serio Internacia 54 2011 275--296 http://fe.math.kobe-u.ac.jp/FE/FullPapers/54-2/54_275.pdf http://www.ams.org/mathscinet-getitem?mr=MR2867016 The paper investigates nonnegativity of all entries of the fundamental matrix for the system of linear delay differential equations $\dot{X}(t)+\sum_{k=1}^m A_k(t)X(h_k(t))=0$ in the case when the non-diagonal entries of matrices $A_k$ are nonpositive. The results are applied to study nonoscillation of high order differential equations, as well as exponential stability for systems of delay equations. Systems of delay equations, Nonoscillation, Nonnegative fundamental matrix, High order delay equations, Exponential stability. 34K11, 34K20. 54-275 2011 On Nonoscillation of Systems of Delay Equations L. BEREZANSKY, E. BRAVERMAN and A. DOMOSHNITSKY L. BEREZANSKY, E. BRAVERMAN and A. DOMOSHNITSKY
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