User talk:Ffschwarz

Welcome
Hello  and welcome to Wikipedia! I am Ukexpat and I would like to thank you for your contributions.  ''Click here to reply to this message.''  ukexpat (talk) 20:34, 13 December 2013 (UTC)

Help desk/user page
The Help Desk is not the appropriate place for a draft article and nor is your user page. I have moved it to a user subpage at User:Ffschwarz/Loewy Decomposition.--ukexpat (talk) 20:37, 13 December 2013 (UTC)

Your submission at AfC Janet Basis was accepted
 Janet Basis, which you submitted to Articles for creation, has been created. You are more than welcome to continue making quality contributions to Wikipedia. . Thank you for helping improve Wikipedia! Jitse Niesen (talk) 09:27, 17 January 2014 (UTC)
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Loewy decomposition for system of linear differential equations
Hello, I saw the articles on Loewy decompositions and Janet basis and was wondering if the theory applies to systems of differential equations. After all it seems to me that instead of taking the coefficients from e.g. Q(x), they could be e.g. from Q^(n times n)(x). In this situation, does Loewy's theorem still hold ? I can see that there might be problems arising from the use of Wronskians (essentially because there is no block-formula for the determinant of block matrices), but on the face of the formula for the q_k variables as ratio of Wronskians, which is just an adjugate formula, it seems to me that Loewy's theorem may perhaps extend to system of differential equations upon replacing Wronskians essentially by matrix inverses. Is that correct? Do you know more on this subject?&#32;Iry-Hor (talk) 18:06, 21 February 2014 (UTC)