We determine the asymptotic behavior of the solutions of differential systems with conditionally integrable coefficients:
X'= (Δ(t) + V(t))X, X'= (A + V(t))X.
Where Δ(t)= diag{λ1(t), λ2(t), . . . , λn(t)} satisfies the dichotomic conditions of Levinson's Theorem [5]. A is a constant n x n matrix and V is a conditionally integrable n x n matrix.
@article{1824, title = {Conditionally integrable perturbations of linear differential systems}, journal = {CUBO, A Mathematical Journal}, year = {1991}, language = {en}, url = {http://dml.mathdoc.fr/item/1824} }
Medina, Rigoberto; Pinto, Manuel. Conditionally integrable perturbations of linear differential systems. CUBO, A Mathematical Journal, (1991), . http://gdmltest.u-ga.fr/item/1824/