Geodesic
Remarks on the asymptotic behaviour of perturbed linear systems†
Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 116-120

Voir la notice de l'article provenant de la source Cambridge University Press

We are here concerned with following result of Trench:Theorem. (Trench [5]). Let v1 and v2 be two linearly independent solutions of the differential equationwhere a(t) is continuous on [0, ∞), and let b(t) be a continuous function of t for t ≧ 0 satisfyingwhere m(t) = max {|v1(t)|2, |v2(t)|2}. Then, if α1and α2are two arbitrary constants, there exists a solution u ofwhich can be written in the form,withfori = 1, 2. 
Wong, James S. W. Remarks on the asymptotic behaviour of perturbed linear systems†. Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 116-120. doi: 10.1017/S0017089500000653
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