Explicit Solutions Of Irreducible Linear Systems Of Delay Differential Equations Of Dimension 2

被引:0
作者
Shu, Felix Che [1 ]
机构
[1] Univ Buea, Dept Math, Buea 63, South West Regi, Cameroon
来源
APPLIED MATHEMATICS E-NOTES | 2011年 / 11卷
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暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A and B be square matrices of dimension 2 with real entries and r > 0. We consider the system (SIC)(t) = AX (t) + BX (t - r), t >= -r, with X specified on the interval [-r, 0]. We assume that the system is irreducible in the sense that the matrix A has a single eigenvalue. We give an explicit formula for the general solution of the system by determining a fundamental matrix for the system.
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页码:261 / 273
页数:13
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