Geodesic
Some complex vector systems of partial functional equations
Archivum mathematicum, Tome 39 (2003) no. 2, pp. 77-116 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper some types of complex vector systems of partial linear and non-linear functional equations are solved.
In this paper some types of complex vector systems of partial linear and non-linear functional equations are solved.
Classification : 39B32, 39B62
Keywords: partial linear complex vector functional equations; linear and non-linear complex vector systems of functional equations 
@article{ARM_2003_39_2_a0,
     author = {Risteski, Ice B. and Tren\v{c}evski, Kostadin G. and Covachev, Val\'ery C.},
     title = {Some complex vector systems of partial functional equations},
     journal = {Archivum mathematicum},
     pages = {77--116},
     year = {2003},
     volume = {39},
     number = {2},
     mrnumber = {1994566},
     zbl = {1122.39304},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2003_39_2_a0/}
}
TY  - JOUR
AU  - Risteski, Ice B.
AU  - Trenčevski, Kostadin G.
AU  - Covachev, Valéry C.
TI  - Some complex vector systems of partial functional equations
JO  - Archivum mathematicum
PY  - 2003
SP  - 77
EP  - 116
VL  - 39
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ARM_2003_39_2_a0/
LA  - en
ID  - ARM_2003_39_2_a0
ER  - 
%0 Journal Article
%A Risteski, Ice B.
%A Trenčevski, Kostadin G.
%A Covachev, Valéry C.
%T Some complex vector systems of partial functional equations
%J Archivum mathematicum
%D 2003
%P 77-116
%V 39
%N 2
%U http://geodesic.mathdoc.fr/item/ARM_2003_39_2_a0/
%G en
%F ARM_2003_39_2_a0
Risteski, Ice B.; Trenčevski, Kostadin G.; Covachev, Valéry C. Some complex vector systems of partial functional equations. Archivum mathematicum, Tome 39 (2003) no. 2, pp. 77-116. http://geodesic.mathdoc.fr/item/ARM_2003_39_2_a0/

[1] J. Aczél: Vorlösungen über Funktionalgleichungen I. Math. Nachr. 19 (1958), 87–99.

[2] J. Aczél: Lectures on Functional Equations and Their Applications. New York & London 1966. | MR

[3] Brodskiy, Yi., Slipenko, A. K.: Functional Equations. Kiev 1987 (in Russian).

[4] Carlitz, L.: A Special Functional Equation. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 97 – 99 (1963), 1–3. | MR | Zbl

[5] Davidov, L. I.: Functional Equations. Sofia 1977, (in Bulgarian).

[6] Djordjević, R. Ž.: Solution d’Un Système d’Équations Fonctionnelles Linéaires. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 143 – 155 (1965), 61–62. | MR

[7] Eichhorn, W.: Lösung einer Klasse von Funktionalgleichungssystemen. Arch. Math. 14 (1963), 266–270. | MR | Zbl

[8] Ghermănescu, M.: Sisteme de Ecuaţii Funcţionale Liniare de Primul Ordin. Bucureşti 1955.

[9] Ghermănescu, M.: Un Sistem de Ecuaţii Funcţionale. Acad. R. P. Române. Bul. Şti. Secţ. Şti. Mat. Fiz. 5 (1953), 575–582.

[10] Ghermănescu, M.: Ecuaţii Funcţionale. Bucureşti 1960. | MR

[11] Mitrinović, D. S., Pečarić, J. E.: Ciklične Nejednakosti i Ciklične Funkcionalne Jednačine. Naučna Knjiga, Beograd 1991. | MR

[12] Mitrinović,D. S., Prešić, S. B.: Sur Une Équation Fonctionnelle Cyclique Non Linéaire. C. R. Acad. Sci. Paris 254 (1962), 611–613. | MR

[13] Mitrinović, D. S., Prešić, S. B.: Sur Une Équation Fonctionnelle Cyclique d’Ordre Supérieur. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 70 – 76 (1962), 1–2. | MR

[14] Mitrinović, D. S., Prešić, S. B. Vasić, P. M.: Sur Deux Équations Fonctionnelles Cycliques Non Linéaires. Bull. Soc. Math. Phys. R. P. Serbie 15 (1963), 3–6. | MR

[15] Prešić, S. B., Djoković, D. Ž.: Sur Une Équation Fonctionnelle. Bull. Soc. Math. Phys. R. P. Serbie, 13 (1961), 149–152.

[16] Risteski, I. B., Trenčevski, K. G., Covachev, V. C.: Systems of Functional Equations. In: Applications of Mathematics in Engineering and Economics’26, Eds. B. I. Cheshankov and M. D. Todorov, Heron Press, Sofia 2001, 113–118. | MR

[17] Vasić, P. M.: Sur Un Système d’Équations Fonctionnelles. Glasnik Mat. Fiz. Astr. 18 (1963), 229–233.

[18] Vasić, P. M.: Équation Fonctionnelle d’Un Certain Type de Déterminants. C. R. Acad. Sci. Paris 256 (1963), 1898. | MR