The Role of the Second Order Equations in Higher Order Linear Differential Equations
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Technical News |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Linear differential equations; covariant constructions |
| Description | In this paper we show how the second order linear differential equations serve as generators for certain higher order equations. These special equations enable us to derive the global criterion for higher order equations which is effective in general regardless the noneffectivenes of the global criterion for the second order equations. However, a selection of a unique global canonical form for linear differential equations is still an open problem. It depends on an answer to a certain question from the theory of functions. |
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