Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations

Václav Tryhuk

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 4, page 429-438
  • ISSN: 0232-0525

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Tryhuk, Václav. "Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations." Mathematica Slovaca 47.4 (1997): 429-438. <http://eudml.org/doc/32105>.

@article{Tryhuk1997,
author = {Tryhuk, Václav},
journal = {Mathematica Slovaca},
keywords = {deviating argument; pointwise transformation; canonical forms},
language = {eng},
number = {4},
pages = {429-438},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations},
url = {http://eudml.org/doc/32105},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Tryhuk, Václav
TI - Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 4
SP - 429
EP - 438
LA - eng
KW - deviating argument; pointwise transformation; canonical forms
UR - http://eudml.org/doc/32105
ER -

References

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  1. NEUMAN F., Transformations and canonical forms of functional-differential equations, Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 349-357. (1990) MR1069527
  2. GROVE E. A., Sufficient conditions for oscillation and nonoscillation of neutral equations, J. Differential Equations 68 (1987), 373-382. (1987) Zbl0616.34063MR0891334
  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 76 (1988), 294-311. (1988) Zbl0669.34069MR0969427
  4. ARINO O., Necessary and sufficient condition for oscillation of a neutral differential system with several delays, J. Differential Equations 81 (1989), 98-105. (1989) Zbl0691.34054MR1012201
  5. NEUMAN F., Simultaneous solutions of a system of Abel equations and differential equations with several deviations, Czechoslovak Math. J. 32(107) (1982), 488-494. (1982) Zbl0524.34070MR0669790
  6. NEUMAN F., On solutions of the vector functional equation y ( ξ ( x ) ) = f ( x ) A y ( x ) , Aequationes Math, 16 (1977), 245-257. (1977) MR0467061
  7. NEUMAN F., On transformations of differential equations and systems with deviating argument, Czechoslovak Math. J. 31(106) (1981), 87-90. (1981) Zbl0463.34051MR0604115
  8. NEUMAN F., Global theory of ordinary linear homogeneous differential equations in the real domain I; II, Aequationes Math. 33; 34 (1987), 123-149; 1-22. (1987) MR0915867
  9. TRYHUK V., The most general transformation of homogeneous linear differential retarded equations of the first order, Arch. Math. (Brno) 16 (1980), 225-230. (1980) Zbl0448.34073MR0594470
  10. TRYHUK V., The most general transformation of homogeneous linear differential retarded equations of the nth order, Math. Slovaca 1 (1983), 15-21. (1983) MR0689272
  11. TRYHUK V., Pointwise transformations of linear functional differential equations of the nth order, (To appear). MR0412523

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