Remark to transformations of functional-differential equations of the first order

Václav Tryhuk

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 4, page 481-494
  • ISSN: 0232-0525

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Tryhuk, Václav. "Remark to transformations of functional-differential equations of the first order." Mathematica Slovaca 49.4 (1999): 481-494. <http://eudml.org/doc/32158>.

@article{Tryhuk1999,
author = {Tryhuk, Václav},
journal = {Mathematica Slovaca},
keywords = {functional-differential equation; pointwise transformation},
language = {eng},
number = {4},
pages = {481-494},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Remark to transformations of functional-differential equations of the first order},
url = {http://eudml.org/doc/32158},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Tryhuk, Václav
TI - Remark to transformations of functional-differential equations of the first order
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 4
SP - 481
EP - 494
LA - eng
KW - functional-differential equation; pointwise transformation
UR - http://eudml.org/doc/32158
ER -

References

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  1. ACZÉL J., Lectures on Functional Equations and Their Applications, Academic Press, New York, 1966. (1966) Zbl0139.09301MR0208210
  2. ČERMÁK J., Continuous transformations of differential equations with delays, Georgian Math. J. 2 (1995), 1-8. (1995) Zbl0817.34036MR1310496
  3. GRAMMATIKOPOULOS M. K.-SFICAS Y. G.-STAVROULAKIS I. P., Necessary and sufficient conditions for oscillations of neutral equations with several coefficients, J. Differential Equations 81 (1989), 98-105. (1989) MR0969427
  4. GROVE E. A., Sufficient conditions for oscillation and nonosdilation of neutral equations, J. Differential Equations 68 (1987), 373-382. (1987) MR0891334
  5. LADDE G. S.-LAKSHMIKANTHAM V.-ZHANG B. G., Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York-Basel, 1987. (1987) Zbl0832.34071MR1017244
  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., Simultaneous solutions of a system of Abel equations and differential equations with several delays, Czechoslovak Math. J. 32(107) (1982), 488-494. (1982) MR0669790
  8. NEUMAN F., Transformations and canonical forms of functional-differential equations, Proc. Roy Soc. Edinburgh Sect. A 115 (1990), 349-357. (1990) MR1069527
  9. NEUMAN F., Global Properties of Linear Ordinary Differential Equations, Math. Appl. (East European Ser.) 52, Kluwer Acad. Publ., Dordrecht-Boston-London, 1991. (1991) Zbl0784.34009MR1192133
  10. NEUMAN F., On equivalence of linear functional-differential equations, Results Math. 26 (1994), 354-359. (1994) Zbl0829.34054MR1300618
  11. TRYHUK V., The most general transformations of homogeneous linear differential retarded equations of the first order, Arch. Math. (Brno) 16 (1980), 225-230. (1980) MR0594470
  12. TRYHUK V., The most general transformation of homogeneous linear differential retarded equations of the nth order, Math. Slovaca 33 (1983), 15-21. (1983) MR0689272
  13. TRYHUK V., On global transformations of functional-differential equations of the first order, Czechoslovak Math. J. (To appear). Zbl1054.34105MR1761387
  14. TRYHUK V., Effective criterion for transformations of linear functional-differential equations of the first order into canonical forms with constant coefficients and deviations, Math. Slovaca 47 (1997), 429-438. (1997) MR1796955

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