On the periodic solutions of linear homogenous systems of differential equations

A. K. Bose

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-5

Abstract:

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 ) .

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:619303

DOI: 10.1155/S0161171282000283

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