On the periodic solutions of linear homogenous systems of differential equations
1982 ◽
Vol 5
(2)
◽
pp. 305-309
Keyword(s):
Given a fundamental matrixϕ(x)of ann-th order system of linear homogeneous differential equationsY′=A(x)Y, a necessary and sufficient condition for the existence of ak-dimensional(k≤n)periodic sub-space (of periodT) of the solution space of the above system is obtained in terms of the rank of the scalar matrixϕ(t)−ϕ(0).
2020 ◽
Vol 100
◽
pp. 106040
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1976 ◽
Vol 74
◽
pp. 71-79
2018 ◽
Vol 7
(2)
◽
pp. 53
2011 ◽
Vol 54
(2)
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pp. 301-310
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2006 ◽
Vol 116
(3)
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pp. 370-380
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1990 ◽
Vol 116
(1-2)
◽
pp. 177-191
1982 ◽
Vol 32
(3)
◽
pp. 295-317
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