Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations
Mathematica slovaca, Tome 47 (1997) no. 4, pp. 429-438
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34K05, 34K17
@article{MASLO_1997_47_4_a4,
     author = {Tryhuk, V\'aclav},
     title = {Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations},
     journal = {Mathematica slovaca},
     pages = {429--438},
     year = {1997},
     volume = {47},
     number = {4},
     mrnumber = {1796955},
     zbl = {0964.34060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1997_47_4_a4/}
}
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
SP  - 429
EP  - 438
VL  - 47
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_1997_47_4_a4/
LA  - en
ID  - MASLO_1997_47_4_a4
ER  - 
%0 Journal Article
%A Tryhuk, Václav
%T Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations
%J Mathematica slovaca
%D 1997
%P 429-438
%V 47
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_1997_47_4_a4/
%G en
%F MASLO_1997_47_4_a4
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, Tome 47 (1997) no. 4, pp. 429-438. http://geodesic.mathdoc.fr/item/MASLO_1997_47_4_a4/

[1] NEUMAN F.: Transformations and canonical forms of functional-differential equations. Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 349-357. | MR

[2] GROVE E. A.: Sufficient conditions for oscillation and nonoscillation of neutral equations. J. Differential Equations 68 (1987), 373-382. | MR | Zbl

[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. | MR | Zbl

[4] ARINO O.: Necessary and sufficient condition for oscillation of a neutral differential system with several delays. J. Differential Equations 81 (1989), 98-105. | MR | Zbl

[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. | MR | Zbl

[6] NEUMAN F.: On solutions of the vector functional equation $y(\xi(x)) = f(x)Ay(x)$, Aequationes Math. 16 (1977), 245-257. | MR

[7] NEUMAN F.: On transformations of differential equations and systems with deviating argument. Czechoslovak Math. J. 31(106) (1981), 87-90. | MR | Zbl

[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. | MR

[9] TRYHUK V.: The most general transformation of homogeneous linear differential retarded equations of the first order. Arch. Math. (Brno) 16 (1980), 225-230. | MR | Zbl

[10] TRYHUK V.: The most general transformation of homogeneous linear differential retarded equations of the nth order. Math. Slovaca 1 (1983), 15-21. | MR

[11] TRYHUK V.: Pointwise transformations of linear functional differential equations of the nth order. (To appear). | MR