Transformation theory of linear ordinary differential equations -- from local to global investigations
Archivum Mathematicum (1997)
- Volume: 033, Issue: 1-2, page 65-74
- ISSN: 0044-8753
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topNeuman, František. "Transformation theory of linear ordinary differential equations -- from local to global investigations." Archivum Mathematicum 033.1-2 (1997): 65-74. <http://eudml.org/doc/248033>.
@article{Neuman1997,
abstract = {A survey of investigations of linear differential equations from the point of view of transformations is described. These investigations started in the middle of the last century and continued till the present time. Essential step was done in the fifties by O. Borvka, who started global investigations of the second order equations.},
author = {Neuman, František},
journal = {Archivum Mathematicum},
keywords = {linear differential equations; global investigations; transformations; linear differential equations; global investigations; transformations},
language = {eng},
number = {1-2},
pages = {65-74},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Transformation theory of linear ordinary differential equations -- from local to global investigations},
url = {http://eudml.org/doc/248033},
volume = {033},
year = {1997},
}
TY - JOUR
AU - Neuman, František
TI - Transformation theory of linear ordinary differential equations -- from local to global investigations
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 1-2
SP - 65
EP - 74
AB - A survey of investigations of linear differential equations from the point of view of transformations is described. These investigations started in the middle of the last century and continued till the present time. Essential step was done in the fifties by O. Borvka, who started global investigations of the second order equations.
LA - eng
KW - linear differential equations; global investigations; transformations; linear differential equations; global investigations; transformations
UR - http://eudml.org/doc/248033
ER -
References
top- Lineare Differentialtransformationen 2. Ordnung, VEB Verlag, Berlin 1967; extended English version: Linear Differential Transformations of the Second Order, English Universities Press, London 1973. MR0463539
- Les équations différentielles, In: Encyclopédie Française, T.I., 1.76 - 10, Paris 1937. Zbl0015.34803
- De generali quadam aequatione differentiali tertii ordinis, Progr. Evang. Königl. Stadtgymnasium Liegnitz 1834 (reprinted in J. Reine Angew. Math. 100 (1887), 1-10).
- Theorie der Transformationgruppe, Teubner, Leipzig 1930.
- Decomposizione delle espressioni differenziali lineari omogenee in prodotti di fattori simbolici e applicazione rellativa allo studio delle equazioni differenziali lineari, Math. Z. 33 (1931), 186-231. MR1545209
- Global Properties of Linear Ordinary Differential Equations, 334 pages, Mathematics and Its Applications, East European Series 52, Kluwer Academic Publishers (with Academia Praha) Dordrecht / Boston / London 1991, ISBN 0-7923-1269-4. Zbl0784.34009MR1192133
- Studi sulle equazioni differenziali lineari omogenee di terzo ordine nel campo reale, Revista Mat. Fis. Teor. Tucuman 6(1948), 195-253. Zbl0041.41903MR0027404
- Über Transformationen von Differentialgleichungen, J. Reine Angew. Math. 111 (1893), 290-302.
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