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Keywords:
algebraic matrix equation; co-solution; singular regular system; boundary value problem; Drazin inverse; closed form solution
algebraic matrix equation; co-solution; singular regular system; boundary value problem; Drazin inverse; closed form solution
Summary:
In this paper we obtain existence conditions and a closed form of the general solution of higher order singular regular boundary value problems. The approach is based on the concept of co-solution of algebraic matrix equations of polynomial type that permits the treatment of the problem without considering an extended first order system as it has been done in the known literature.
References:
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