Conditionally integrable perturbations of linear differential systems
Author
Medina, Rigoberto
Pinto, Manuel
Abstract
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.