| Title:
|
Some complex vector systems of partial functional equations (English) |
| Author:
|
Risteski, Ice B. |
| Author:
|
Trenčevski, Kostadin G. |
| Author:
|
Covachev, Valéry C. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
77-116 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper some types of complex vector systems of partial linear and non-linear functional equations are solved. (English) |
| Keyword:
|
partial linear complex vector functional equations |
| Keyword:
|
linear and non-linear complex vector systems of functional equations |
| MSC:
|
39B32 |
| MSC:
|
39B62 |
| idZBL:
|
Zbl 1122.39304 |
| idMR:
|
MR1994566 |
| . |
| Date available:
|
2008-06-06T22:41:20Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107856 |
| . |
| Reference:
|
[1] J. Aczél: Vorlösungen über Funktionalgleichungen I.Math. Nachr. 19 (1958), 87–99. |
| Reference:
|
[2] J. Aczél: Lectures on Functional Equations and Their Applications.New York & London 1966. MR 0208210 |
| Reference:
|
[3] Brodskiy, Yi., Slipenko, A. K.: Functional Equations.Kiev 1987 (in Russian). |
| Reference:
|
[4] Carlitz, L.: A Special Functional Equation.Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 97 – 99 (1963), 1–3. Zbl 0106.31501, MR 0147804 |
| Reference:
|
[5] Davidov, L. I.: Functional Equations.Sofia 1977, (in Bulgarian). |
| Reference:
|
[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 0208213 |
| Reference:
|
[7] Eichhorn, W.: Lösung einer Klasse von Funktionalgleichungssystemen.Arch. Math. 14 (1963), 266–270. Zbl 0121.11001, MR 0153996 |
| Reference:
|
[8] Ghermănescu, M.: Sisteme de Ecuaţii Funcţionale Liniare de Primul Ordin.Bucureşti 1955. |
| Reference:
|
[9] Ghermănescu, M.: Un Sistem de Ecuaţii Funcţionale.Acad. R. P. Române. Bul. Şti. Secţ. Şti. Mat. Fiz. 5 (1953), 575–582. |
| Reference:
|
[10] Ghermănescu, M.: Ecuaţii Funcţionale.Bucureşti 1960. MR 0126635 |
| Reference:
|
[11] Mitrinović, D. S., Pečarić, J. E.: Ciklične Nejednakosti i Ciklične Funkcionalne Jednačine.Naučna Knjiga, Beograd 1991. MR 1109499 |
| Reference:
|
[12] Mitrinović,D. S., Prešić, S. B.: Sur Une Équation Fonctionnelle Cyclique Non Linéaire.C. R. Acad. Sci. Paris 254 (1962), 611–613. MR 0151744 |
| Reference:
|
[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 0145221 |
| Reference:
|
[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 0188657 |
| Reference:
|
[15] Prešić, S. B., Djoković, D. Ž.: Sur Une Équation Fonctionnelle.Bull. Soc. Math. Phys. R. P. Serbie, 13 (1961), 149–152. |
| Reference:
|
[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 1878823 |
| Reference:
|
[17] Vasić, P. M.: Sur Un Système d’Équations Fonctionnelles.Glasnik Mat. Fiz. Astr. 18 (1963), 229–233. |
| Reference:
|
[18] Vasić, P. M.: Équation Fonctionnelle d’Un Certain Type de Déterminants.C. R. Acad. Sci. Paris 256 (1963), 1898. MR 0147805 |
| . |
