Published

1999-01-01

A remark on exponential dichotomies

Keywords:

Exponential dichotomies, admissibility (es)

Authors

  • Raúl Naulin Universidad de Oriente
A proof of the existence of an exponential dichotomy for the linear system x'(t) = A(t)x(t) is given, based on the admissibility of the pair (B(∞), BA(∞)), where B(∞) is the space of continuous functions on the semiaxis J = [0,∞), values in Cn and having a limit as t →∞, and BA(∞) is the space of bounded functions f on J such that A -1 B(∞).

How to Cite

APA

Naulin, R. (1999). A remark on exponential dichotomies. Revista Colombiana de Matemáticas, 33(1), 9–13. https://revistas.unal.edu.co/index.php/recolma/article/view/33741

ACM

[1]
Naulin, R. 1999. A remark on exponential dichotomies. Revista Colombiana de Matemáticas. 33, 1 (Jan. 1999), 9–13.

ACS

(1)
Naulin, R. A remark on exponential dichotomies. rev.colomb.mat 1999, 33, 9-13.

ABNT

NAULIN, R. A remark on exponential dichotomies. Revista Colombiana de Matemáticas, [S. l.], v. 33, n. 1, p. 9–13, 1999. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33741. Acesso em: 22 jan. 2025.

Chicago

Naulin, Raúl. 1999. “A remark on exponential dichotomies”. Revista Colombiana De Matemáticas 33 (1):9-13. https://revistas.unal.edu.co/index.php/recolma/article/view/33741.

Harvard

Naulin, R. (1999) “A remark on exponential dichotomies”, Revista Colombiana de Matemáticas, 33(1), pp. 9–13. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33741 (Accessed: 22 January 2025).

IEEE

[1]
R. Naulin, “A remark on exponential dichotomies”, rev.colomb.mat, vol. 33, no. 1, pp. 9–13, Jan. 1999.

MLA

Naulin, R. “A remark on exponential dichotomies”. Revista Colombiana de Matemáticas, vol. 33, no. 1, Jan. 1999, pp. 9-13, https://revistas.unal.edu.co/index.php/recolma/article/view/33741.

Turabian

Naulin, Raúl. “A remark on exponential dichotomies”. Revista Colombiana de Matemáticas 33, no. 1 (January 1, 1999): 9–13. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33741.

Vancouver

1.
Naulin R. A remark on exponential dichotomies. rev.colomb.mat [Internet]. 1999 Jan. 1 [cited 2025 Jan. 22];33(1):9-13. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33741

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