On transformations z ( t ) = L ( t ) y ( φ ( t ) ) of functional-differential equations

Václav Tryhuk

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 5, page 515-530
  • ISSN: 0232-0525

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Tryhuk, Václav. "On transformations $z(t)=L(t)y(\phi (t))$ of functional-differential equations." Mathematica Slovaca 49.5 (1999): 515-530. <http://eudml.org/doc/32315>.

@article{Tryhuk1999,
author = {Tryhuk, Václav},
journal = {Mathematica Slovaca},
keywords = {functional-differential equation; functional equation; transformation},
language = {eng},
number = {5},
pages = {515-530},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On transformations $z(t)=L(t)y(\phi (t))$ of functional-differential equations},
url = {http://eudml.org/doc/32315},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Tryhuk, Václav
TI - On transformations $z(t)=L(t)y(\phi (t))$ of functional-differential equations
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 5
SP - 515
EP - 530
LA - eng
KW - functional-differential equation; functional equation; transformation
UR - http://eudml.org/doc/32315
ER -

References

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  2. ACZEL J., Über Zusammenhänge zwischen Differential- und Funktionalgleichungen, Jahresber. Deutsch. Math.-Verein. 71 (1969), 55-57. (1969) Zbl0175.45603MR0256014
  3. BORŮVKA O., Linear Differential Transformations of the Second Order, The English Univ. Press, London, 1971. (1971) Zbl0222.34002MR0463539
  4. ČERMÁK J., Continuous transformations of differential equations with delays, Georgian Math. J. 2 (1995), 1-8. (1995) Zbl0817.34036MR1310496
  5. MOÓR A.-PINTER L., Untersuchungen Über den Zusammenhang von Differential- und Funktionalgleichungen, Publ. Math. Debrecen 13 (1966), 207-223. (1966) Zbl0199.15301MR0206445
  6. NEUMAN F., On transformations of differential equations and systems with deviating argument, Czechoslovak Math. J. 31(106) (1981), 87-90. (1981) Zbl0463.34051MR0604115
  7. NEUMAN F., Transformations and canonical forms of functional-differential equations, Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 349-357. (1990) MR1069527
  8. NEUMAN F., Global Properties of Linear Ordinary Differential Equations, Math. Appl. (East European Ser.) 52, Kluwer Acad. PuЪl., Dordrecht-Boston-London, 1991. (1991) Zbl0784.34009MR1192133
  9. NEUMAN F., On equivalence of linear functional-differential equations, Results Math. 26 (1994), 354-359. (1994) Zbl0829.34054MR1300618
  10. TRYHUK V., The most general transformations of homogeneous linear differential retarded equations of the first order, Arcһ. Math. (Brno) 16 (1980), 225-230. (1980) MR0594470
  11. ТRYHUK V., The most general transformation of homogeneous linear differential retarded equations of the nth order, Matһ. Slovaca 33 (1983), 15-21. (1983) MR0689272
  12. ТRYHUK V., Remark to transformations of linear differential and functional-differential equations, Czechoslovak Math. J. (Тo appear). 
  13. ТRYHUK V., On global transformations of ordinary differential equations of the second order, Czechoslovak Math. J. (Тo appear). 
  14. ТRYHUK V., On global transformations of functional-differential equations of the first order, Czechoslovak Math. J. (Тo appear). 
  15. ТRYHUK V., On transformations z(t) = y(φ(t)) of ordinary differential equations, Czechoslovak Math. J. (Тo appear). 
  16. ТRYHUK V., Transformations z(t) = L(t)y(φ(t)) of ordinary differential equations, Czechoslovak Math. J. (Тo appear). 
  17. ZDUN M., Note on commutable functions, Aequationes Math. 36 (1988), 153-164. (1988) Zbl0662.39004MR0972282
  18. ZDUN M., On simultaneous Abel equations, Aequationes Math. 38 (1989), 163-177. (1989) Zbl0686.39009MR1018910

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