Řešitelnost grup lineárních diferenciálních operátorů n-tého řádu
| Title in English | Solvability of groups of linear differential operators of the n-th order |
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| Authors | |
| Year of publication | 2013 |
| Type | Article in Proceedings |
| Conference | Acta mathematica 16, ed. PRÍRODOVEDEC, publ. č. 532 |
| MU Faculty or unit | |
| Citation | |
| Field | Pedagogy and education |
| Keywords | Differential equation; solution spaces of homogeneous differential equations; solvable group. |
| Description | The article was created on the basis of scientific research in the area of interdisciplinary relations between algebra and the theory of differential equations with the aim to find deeper connections between these two branches. In the contribution there is constructed a certain group of linear ordinary differential operators of the n-th order and there is solved the problem of its solvability. In particular, using the stabilization of the commutant chain of that group, we have obtain that the mention group is solvable. Moreover, using the one-to-one correspondence between this group and the system of solution spaces of corresponding homogeneous differential equations of the n-th order we obtain that the isomorphic group of solution spaces is also solvable. |