| Title:
|
Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations (English) |
| Author:
|
Tryhuk, Václav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
429-438 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K05 |
| MSC:
|
34K17 |
| idZBL:
|
Zbl 0964.34060 |
| idMR:
|
MR1796955 |
| . |
| Date available:
|
2009-09-25T11:24:32Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130938 |
| . |
| Reference:
|
[1] NEUMAN F.: Transformations and canonical forms of functional-differential equations.Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 349-357. MR 1069527 |
| Reference:
|
[2] GROVE E. A.: Sufficient conditions for oscillation and nonoscillation of neutral equations.J. Differential Equations 68 (1987), 373-382. Zbl 0616.34063, MR 0891334 |
| Reference:
|
[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. Zbl 0669.34069, MR 0969427 |
| Reference:
|
[4] ARINO O.: Necessary and sufficient condition for oscillation of a neutral differential system with several delays.J. Differential Equations 81 (1989), 98-105. Zbl 0691.34054, MR 1012201 |
| Reference:
|
[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. Zbl 0524.34070, MR 0669790 |
| Reference:
|
[6] NEUMAN F.: On solutions of the vector functional equation $y(\xi(x)) = f(x)Ay(x)$, Aequationes Math.16 (1977), 245-257. MR 0467061 |
| Reference:
|
[7] NEUMAN F.: On transformations of differential equations and systems with deviating argument.Czechoslovak Math. J. 31(106) (1981), 87-90. Zbl 0463.34051, MR 0604115 |
| Reference:
|
[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 0915867 |
| Reference:
|
[9] TRYHUK V.: The most general transformation of homogeneous linear differential retarded equations of the first order.Arch. Math. (Brno) 16 (1980), 225-230. Zbl 0448.34073, MR 0594470 |
| Reference:
|
[10] TRYHUK V.: The most general transformation of homogeneous linear differential retarded equations of the nth order.Math. Slovaca 1 (1983), 15-21. MR 0689272 |
| Reference:
|
[11] TRYHUK V.: Pointwise transformations of linear functional differential equations of the nth order.(To appear). MR 0412523 |
| . |
