Geodesic
Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems
Applicationes Mathematicae, Tome 22 (1993) no. 1, pp. 11-23

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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.
DOI : 10.4064/am-22-1-11-23
Keywords: initial value problem, closed form solution, fundamental set, boundary value problem, Bessel matrix equation

Enrique Navarro 1 ; Rafael Company 1 ; Lucas Jódar 1

1 
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Enrique Navarro; Rafael Company; Lucas Jódar. Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems. Applicationes Mathematicae, Tome 22 (1993) no. 1, pp. 11-23. doi: 10.4064/am-22-1-11-23

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