- Tytuł:
- Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems
- Autorzy:
-
Navarro, Enrique
Company, Rafael
Jódar, Lucas - Powiązania:
- https://bibliotekanauki.pl/articles/1340656.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
initial value problem
closed form solution
fundamental set
boundary value problem
Bessel matrix equation - Opis:
- In this paper we consider Bessel equations of the type $t^2 X^{(2)}(t) + t X^{(1)}(t) + (t^2 I - A^2)X(t) = 0$, where A is an n$\times$n complex matrix and X(t) is an n$\times$m matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
- Źródło:
-
Applicationes Mathematicae; 1993-1995, 22, 1; 11-23
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł