Title of article
Necessary and sufficient conditions for the oscillation of systems of difference equations with continuous arguments ✩
Author/Authors
Qiong Meng، نويسنده , , Aimin Zhao، نويسنده , , Jurang Yan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
11
From page
72
To page
82
Abstract
In this paper the oscillation of all solutions of system of the form
y(t)+
n
i=1
Piy(t −τi ) = 0,
where Pi ∈ Rm×m, τi ∈ R (i = 1, 2, . . . , n), is studied. Necessary and sufficient conditions in terms
of the characteristic equation and explicit conditions in terms of the eigenvalues or the logarithmic
norms of the coefficient matrices are established.
2005 Elsevier Inc. All rights reserved
Keywords
Oscillation , systems of difference equations , Continuous argument , characteristic equation , Logarithmic norm , Eigenvalue
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
934182
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