Conditionally integrable perturbations of linear differential systems

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Abstract

We determine the asymptotic behavior of the solutions of differential systems with conditionally integrable coefficients:

X'= (Δ(t) + V(t))XX'= (A + V(t))X.

Where Î”(t)= diag{λ1(t), Î»2(t), . . . , Î»n(t)} satisfies the dichotomic conditions of Levinson's Theorem [5]. A is a constant matrix and V is a conditionally integrable x n matrix. 

  • Rigoberto Medina Departamento de Ciencias Exactas, Universidad de Los Lagos, Puerto Montt - Chile.
  • Manuel Pinto Departamento de Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago - Chile.
  • Pages: 01–15
  • Date Published: 1991-12-01
  • No. 7 (1991): CUBO, Revista de Matemática

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Published

1991-12-01

How to Cite

[1]
R. Medina and M. Pinto, “Conditionally integrable perturbations of linear differential systems”, CUBO, no. 7, pp. 01–15, Dec. 1991.