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On a class of nonlinear integral equations of Urysohn’s type. (English) Zbl 0349.45007


MSC:

45G10 Other nonlinear integral equations
47H05 Monotone operators and generalizations
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References:

[1] Amann, H., Ueber die Existenz und Eindeutigkeit einer Lösung der Hammersteinschen Gleichung in Banachräumen, J. Math. Mech., 19, 143-153 (1969) · Zbl 0183.15702
[2] Amann, H., Existence theorems for equations of Hammerstein’s type, Applicable Analysis, 1, 385-397 (1972)
[3] Brézis, H., Monotone operators, nonlinear semi-groups and applications, (Proceedings of the International Congress of Mathematics, Vancouver, Vol. 2 (1975)), 249-255
[4] Brézis, H.; Browder, F. E., Équations intégrales non linéaires du type Hammerstein, C. R. Acad. Sci. Paris, Sér. A, 279, 1-2 (1974) · Zbl 0286.45006
[5] Brézis, H.; Browder, F. E., Existence theorems for nonlinear integral equations of Hammerstein type, Bull. Amer. Math. Soc., 81, 73-78 (1975) · Zbl 0298.47031
[6] Browder, F. E., Nonlinear functional analysis and nonlinear integral equations of Hammerstein and Urysohn type, (Nonlinear Functional Analysis. Nonlinear Functional Analysis, Pub. No. 27 (1971), MRC, Univ. of Wisconsin), 425-501, Contribution to · Zbl 0143.36902
[7] Browder, F. E.; Gupta, C. P., Monotone operators and nonlinear integral equations of Hammerstein type, Bull. Amer. Math. Soc., 75, 1347-1353 (1969) · Zbl 0193.11204
[8] Hess, P., A remark on a class of linear monotone operators, Math. Z., 125, 104-106 (1972) · Zbl 0229.47042
[9] Joshi, M., Existence theorem for generalized Hammerstein equation, Comm. Math. Univ. Carolina, 15, 283-291 (1974) · Zbl 0291.47034
[10] Krasnoselskii, M. A., Topological Methods in the Theory of Nonlinear Integral Equations (1956), Moscow
[11] Zaanen, A. C., Integration (1967), North-Holland: North-Holland Amsterdam · Zbl 0175.05002
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