On oscillation and nonoscillation of two-dimensional linear differential systems

被引:6
|
作者
Lomtatidze, Alexander [1 ]
Sremr, Jiri [2 ]
机构
[1] Brno Univ Technol, Fac Mech Engn, Inst Math, Brno 61669, Czech Republic
[2] Acad Sci Czech Republic, Inst Math, Branch Brno, Brno 61662, Czech Republic
关键词
Two-dimensional system of linear ODE; oscillation; nonoscillation;
D O I
10.1515/gmj-2013-0025
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
New oscillation and nonoscillation criteria are established for the two-dimensional system mu' = q (t)v, v' = -p(t)u, where p, q:[0, +infinity[-> R are locally integrable functions, q(t) >= 0 for a.e. t >= 0, and integral(+infinity)(0) q(s)ds < +infinity.
引用
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页码:573 / 600
页数:28
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