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Consequences of the meromorphic equivalence of standard matrix differential equations.

Hans-Joachim Zwiesler (1997)

Publicacions Matemàtiques

In this article we investigate the question [of] how meromorphic differential equations can be simplified by meromorphic equivalence. In the case of equations of block size 1, which generalizes the case of distinct eigenvalues, we identify a class of equations which are simplest possible in the sense that they carry the smallest number of parameters whithin their equivalence classes. We also discuss conditions under which individual equations can be simplified. Particular attention is paid to the...

Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems

Lucas Jódar, Enrique A. Navarro (1994)

Applications of Mathematics

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.

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