Remark to transformations of linear differential and functional-differential equations

Václav Tryhuk

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 2, page 265-278
  • ISSN: 0011-4642

Abstract

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For linear differential and functional-differential equations of the n -th order criteria of equivalence with respect to the pointwise transformation are derived.

How to cite

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Tryhuk, Václav. "Remark to transformations of linear differential and functional-differential equations." Czechoslovak Mathematical Journal 50.2 (2000): 265-278. <http://eudml.org/doc/30560>.

@article{Tryhuk2000,
abstract = {For linear differential and functional-differential equations of the $n$-th order criteria of equivalence with respect to the pointwise transformation are derived.},
author = {Tryhuk, Václav},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordinary differential equations; functional-differential equations; transformations; ordinary differential equations; functional-differential equations; transformations},
language = {eng},
number = {2},
pages = {265-278},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remark to transformations of linear differential and functional-differential equations},
url = {http://eudml.org/doc/30560},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Tryhuk, Václav
TI - Remark to transformations of linear differential and functional-differential equations
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 2
SP - 265
EP - 278
AB - For linear differential and functional-differential equations of the $n$-th order criteria of equivalence with respect to the pointwise transformation are derived.
LA - eng
KW - ordinary differential equations; functional-differential equations; transformations; ordinary differential equations; functional-differential equations; transformations
UR - http://eudml.org/doc/30560
ER -

References

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  2. 10.1007/BF02257729, Georgian Math. J. 2 (1995), 1–8. (1995) MR1310496DOI10.1007/BF02257729
  3. On transformations of differential equations and systems with deviating argument, Czechoslovak Math. J. 31(106) (1981), 87–90. (1981) Zbl0463.34051MR0604115
  4. Simultaneous solutions of a system of Abel equations and differential equations with several delays, Czechoslovak Math. J. 32(107) (1982), 488–494. (1982) MR0669790
  5. Transformations and canonical forms of functional-differential equations, Proc. Roy. Soc. Edinburgh 115 A (1990), 349–357. (1990) MR1069527
  6. Global Properties of Linear Ordinary Differential Equations, Mathematics and Its Applications (East European Series) 52, Kluwer Acad. Publ., Dordrecht-Boston-London, 1991. (1991) Zbl0784.34009MR1192133
  7. 10.1007/BF03323059, Results Math. 26 (1994), 354–359. (1994) Zbl0829.34054MR1300618DOI10.1007/BF03323059
  8. The most general transformation of homogeneous linear differential retarded equations of the n -th order, Math. Slovaca 33 (1983), 15–21. (1983) MR0689272
  9. Projective differential geometry of curves and ruled spaces, Teubner, Leipzig, . 

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