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Keywords:
Coupled differential system; boundary value problem; singularity of the first kind; Moore-Penrose pseudo-inverse
Coupled differential system; boundary value problem; singularity of the first kind; Moore-Penrose pseudo-inverse
Summary:
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.
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