Geodesic
Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: explicit solutions
Applications of Mathematics, Tome 39 (1994) no. 1, pp. 1-13.

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In this paper we obtain existence conditions and an explicit closed form expression of the general solution of twopoint boundary value problems for coupled systems of second order differential equations with a singularity of the first kind. The approach is algebraic and is based on a matrix representation of the system as a second order Euler matrix differential equation that avoids the increase of the problem dimension derived from the standard reduction of the order method.
DOI : 10.21136/AM.1994.134239
Classification : 34A05, 34B05
Keywords: Coupled differential system; boundary value problem; singularity of the first kind; Moore-Penrose pseudo-inverse 
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Jódar, Lucas. Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: explicit solutions. Applications of Mathematics, Tome 39 (1994) no. 1, pp. 1-13. doi : 10.21136/AM.1994.134239. http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134239/

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