×

Generalized Hammerstein equation and integral equation of Hammerstein type. (English) Zbl 0274.47034


MSC:

47J05 Equations involving nonlinear operators (general)
45G10 Other nonlinear integral equations
47Gxx Integral, integro-differential, and pseudodifferential operators
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Amann, Math. Zeitschr. 111 pp 175– (1969)
[2] Amann, Math. Ann. 186 pp 334– (1970)
[3] Avramescu, Annales Univ. Sc. Budapest. Rol. Eötvös Nom. 13 pp 19– (1970)
[4] Brézis, Ann. Inst. Fourier 18 pp 115– (1968) · Zbl 0169.18602
[5] Browder, Bull. Amer. Math. Soc. 76 pp 700– (1970)
[6] Browder, Bull. Amer. Math. Soc. 75 pp 1347– (1969)
[7] and , On nonlinear integral equations of Hammerstein type. Nonlinear Integral Equations (Ed.: ), pp. 99–154. Madison, Univ. Wisconsin Press 1964.
[8] Functional analysis, theory and applications. New York 1965.
[9] Hammerstein, Acta math. 54 pp 117– (1930)
[10] Hess, Proc. Amer. Math. Soc. 30 pp 308– (1971)
[11] Kolodner, J. Math. Mech. 13 pp 701– (1964)
[12] Kolomy, Comment. Math. Univ. Carolinae 8 pp 273– (1967)
[13] Topological methods in the theory of non-linear integral equations, GITTL, Moscow, 1956; English transl., New York 1964.
[14] Mahmudov, Azerbaidzan. Gos. Univ. Ucen. Zap. Ser. Fiz.-Mat. i. Him. Nauk 1961 pp 31–
[15] Petry, ZAMM 47 pp 97– (1967)
[16] Petry, Diese Nachr. 48 pp 49– (1971)
[17] Petry, Diese Nachr. 50 pp 149– (1971)
[18] Petryshyn, Trans. Amer. Math. Soc. 160 pp 39– (1971)
[19] Schaefer, Ber. Verh. Sächs. Akad. Wiss. Leipzig, Math.-Nat. Klasse 101 (1955)
[20] Variational methods for the study of non-linear operators, GITTL, Moscow, 1956; English transl., San Francisco, Calif., 1964.
[21] Vainberg, Soviet Math. Dokl. 9 pp 1427– (1968)
[22] Zabreiko, Ukrain. Mat. Z. 22 pp 127– (1970)
[23] Zabreiko, Mat. Sbornik 84 (1971)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.