Geodesic
Nonoscillatory Solutions of x(m) = (-1)mQ(t)x
Canadian mathematical bulletin, Tome 22 (1979) no. 1, pp. 17-21

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A continuous real vector function is said to be nonoscillatory on an interval if at least one of its components is of constant positive or negative sign there. In this note, various existence criteria for nonoscillatory solutions of the system x(m) = (-l)mQ(t)x are established. In some cases, additional monotonicity properties for these solutions are also given.
DOI : 10.4153/CMB-1979-003-x
Mots-clés : 34C10, Nonoscillatory solutions, Indecomposable matrices, Comparison theorem 
Cheng, Sui-Sun. Nonoscillatory Solutions of x(m) = (-1)mQ(t)x. Canadian mathematical bulletin, Tome 22 (1979) no. 1, pp. 17-21. doi: 10.4153/CMB-1979-003-x
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     title = {Nonoscillatory {Solutions} of x(m) = {(-1)mQ(t)x}},
     journal = {Canadian mathematical bulletin},
     pages = {17--21},
     year = {1979},
     volume = {22},
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     doi = {10.4153/CMB-1979-003-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-003-x/}
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