| Title:
|
Coordinate description of analytic relations (English) |
| Author:
|
Neuman, František |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
131 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
197-210 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we present an algebraic approach that describes the structure of analytic objects in a unified manner in the case when their transformations satisfy certain conditions of categorical character. We demonstrate this approach on examples of functional, differential, and functional differential equations. (English) |
| Keyword:
|
canonical form |
| Keyword:
|
Brandt groupoid |
| Keyword:
|
Ehresmann groupoid |
| Keyword:
|
transformation |
| Keyword:
|
differential equation |
| Keyword:
|
Abel functional equation |
| Keyword:
|
functional differential equation |
| MSC:
|
20L05 |
| MSC:
|
34A30 |
| MSC:
|
34C20 |
| MSC:
|
34K05 |
| MSC:
|
39B22 |
| MSC:
|
39B72 |
| idZBL:
|
Zbl 1116.34006 |
| idMR:
|
MR2242845 |
| DOI:
|
10.21136/MB.2006.134091 |
| . |
| Date available:
|
2009-09-24T22:25:41Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134091 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[17] F. Neuman: On equivalence of linear functional-differential equations.Results in Mathematics 26 (1994), 354–359. Zbl 0829.34054, MR 1300618, 10.1007/BF03323059 |
| Reference:
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[18] F. Neuman: Algebraic aspects of transformations with an application to differential equations.Nonlinear Anal. 40 (2000), 505–511. Zbl 0957.34008, MR 1768906, 10.1016/S0362-546X(00)85029-4 |
| Reference:
|
[19] F. Neuman: A general construction of linear differential equations with solutions of prescribed properties.Applied Math. Letters 17 (2004), 71–76. Zbl 1054.34018, MR 2030653, 10.1016/S0893-9659(04)90014-6 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[22] E. J. Wilczynski: Projective Differential Geometry of Curves and Ruled Surfaces.Teubner, Leipzig, 1906. |
| . |
