- 期刊
ON THE PERIODIC SOLUTIONS OF LINEAR HOMOGENEOUS SYSTEMS OF DIFFERENTIAL EQUATIONS
並列摘要
Given a fundamental matrix ϕ(x) of an n-th order system of linear homogeneous differential equations Y'=A(x)Y, a necessary and sufficient condition for the existence of a k-dimensional (k≤n)periodic sub-space (of period T) of the solution space of the above system is obtained in terms of the rank of the scalar matrix ϕ(T)-ϕ(0).
延伸閱讀
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