Application of the Newton–Kantorovich method to the Chew–Low $N/D$-equations. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 214-222 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Newton–Kantorovich method is used to obtain an iteration sequence for the Chew–Low equation in the $N/D$-form with allowance for the Castillejo–Dalitz–Dyson poles. Conditions are found under which the iteration sequence converges. The interaction constant is estimated.
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Konno Taira; N. F. Nelipa. Application of the Newton–Kantorovich method to the Chew–Low $N/D$-equations. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 214-222. http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a6/

[1] M. A. Krasnoselskii, Topologicheskie metody v teorii nelineinykh integralnykh uravnenii, Gostekhizdat, 1956 | MR

[2] R. L. Warnock, Phys. Rev., 170 (1968), 1323 | DOI

[3] D. Atkinson, Nucl. Phys., B7, 375 ; B8 (1968), 377 ; B11 (1969), 573 ; B12 (1969), 155 | MR | DOI | MR | MR

[4] N. I. Muskhelishvili, Singulyarnye integralnye uravneniya, «Nauka», 1968 | MR | Zbl

[5] A. Ts. Amatuni, Nuovo Cim., 58A (1968), 321 | DOI

[6] P. Kh. Byrnev, V. A. Mescheryakov, I. P. Nedyalkov, ZhETF, 46 (1964), 663 | MR

[7] D. V. Shirkov, V. V. Serebryakov, V. A. Mescheryakov, Dispersionnye teorii silnykh vzaimodeistvii pri nizkikh energiyakh, «Nauka», 1967

[8] H. Mc Daniel, R. L. Warnock, Phys. Rev., 180 (1969), 1433 | DOI

[9] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, 1959 ; М. А. Красносельский, Г. М. Вайникко, П. П. Забрейко, Я. Б. Рутицкий, В. Я. Стеценко, Приближенное решение операторных уравнений, Наука, 1969 | MR | MR

[10] L. A. Lyusternik, V. I. Sobolev, Elementy funktsionalnogo analiza, «Nauka», 1965 | MR

[11] P. M. Anselone, R. H. Moore, J. Math. Anal. and Appl., 13 (1966), 476 | DOI | MR | Zbl