Geodesic
Investigation of the equations for regge pole parameters
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 2, pp. 202-207 
A. Ts. Amatuni; A. P. Garyaka. Investigation of the equations for regge pole parameters. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 2, pp. 202-207. http://geodesic.mathdoc.fr/item/TMF_1970_4_2_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An existence and uniqueness theorem is proved for the solution of the system of equations for the Regge pole parameters proposed by Cheng, Sharp, and Mandelstam. The proof presupposes the fulfillment of a certain condition that relates all the parameters. The Kantorovich–Akilov theorem is used, fulfillment of the conditions of this theorem ensuring the contraction property of the mappings.

[1] H. Cheng, D. Sharp, Ann. Phys., 22 (1963), 4819 | DOI | MR

[2] H. Cheng, D. Sharp, Phys. Rev., 132 (1963), 1854 | DOI | MR

[3] A. Ahmadzadeh, P. Burke, C. Tate, Phys. Rev., 131 (1963), 1315 | DOI

[4] C. Lovelace, D. Masson, Nuovo Cim., 26 (1962), 472 | DOI | MR | Zbl

[5] S. Mandelstam, Phys. Rev., 166 (1968), 1539 | DOI

[6] G. Epstein, P. Kaus, Phys. Rev., 166 (1968), 1633 | DOI

[7] Shu-Yuan Chu, G. Epstein, P. Kaus, Richard, C. Slansky, F. Zachariasen, Phys. Rev., 175 (1968), 2098 | DOI

[8] S. C. Frautschi, P. Kaus, F. Zachariasen, Phys. Rev., 133 (1964), B1607 | DOI | MR

[9] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, 1959 | MR

[10] M. A. Krasnoselskii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, V. Ya. Stetsenko, Priblizhennoe reshenie operatornykh uravnenii, «Nauka», 1969 | MR