Existence theorems for a variant of Hammerstein's integral equation
Commentationes Mathematicae Universitatis Carolinae, Tome 16 (1975) no. 2, pp. 255-271 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 45G10, 45G99, 47G05, 47H15, 47J05
@article{CMUC_1975_16_2_a3,
     author = {Joshi, M.},
     title = {Existence theorems for a variant of {Hammerstein's} integral equation},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {255--271},
     year = {1975},
     volume = {16},
     number = {2},
     mrnumber = {0380521},
     zbl = {0316.45014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1975_16_2_a3/}
}
TY  - JOUR
AU  - Joshi, M.
TI  - Existence theorems for a variant of Hammerstein's integral equation
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1975
SP  - 255
EP  - 271
VL  - 16
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_1975_16_2_a3/
LA  - en
ID  - CMUC_1975_16_2_a3
ER  - 
%0 Journal Article
%A Joshi, M.
%T Existence theorems for a variant of Hammerstein's integral equation
%J Commentationes Mathematicae Universitatis Carolinae
%D 1975
%P 255-271
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_1975_16_2_a3/
%G en
%F CMUC_1975_16_2_a3
Joshi, M. Existence theorems for a variant of Hammerstein's integral equation. Commentationes Mathematicae Universitatis Carolinae, Tome 16 (1975) no. 2, pp. 255-271. http://geodesic.mathdoc.fr/item/CMUC_1975_16_2_a3/

[1] H. AMANN: Existence theorems for equations of Hammerstein type. Applicable Analysis 2 (1972), 385-397. | MR

[2] H. BREZIS: Equations et inéquations nonlinéaires dans les espaces vectoriels en dualité. Annales de l'Institut Fourier (Grenoble) 18 (1968), 115-175. | MR

[3] F. E. BROWDER C. P. GUPTA: Nonlinear monotone operators and integral equations of Hammerstein type. Bull. Amer. Math. Soc. 75 (1969), 1347-1353. | MR

[4] C. L. DOLPH: Nonlinear integral equations of Hammerstein type. Trans. Amer. Math. Soc. 66 (1949), 289-307. | MR

[5] C. L. DOLPH G. J. MINTY: On nonlinear integral equations of the Hammerstein type, Nonlinear Integral Equations. edited by P. M. Anselone, Univ. of Wisconsin Press, Madison, Wisconsin 1964, 99-154. | MR

[6] M. GOLOMB: On the theory of nonlinear integral equations, integral systems and general functional equations. Math. Z. 39 (1935), 45-75.

[7] A. HAMMERSTEIN: Nichtlineare Integralgleichungen nebst Anwendungen. Acta Math. 54 (1930), 117-176. | MR

[8] R. IGLISCH: Existenz und Eindeutigskeit-Sätze bei nichtlinearen Integralgleichungen. Math. Annalen 108 (1933), 161-189. | MR

[9] R. I. KACHUROVSKI: Nonlinear monotone operators on Banach spaces. Russian Math. Surveys 23 (1968), 117-165.

[10] I. I. KOLODNER: Equations of Hammeratein type in Hilbert space. J. Math. Mech. 13 (1964), 701-750. | MR

[11] J. KOLOMÝ: Applications of some existence theorems for the solutions of Hammerstein integral equations. Comment. Math. Univ. Carolinae 7 (1966), 461-478. | MR

[12] J. KOLOMÝ: The solvability of nonlinear integral equations. Comment. Math. Univ. Carolinae 8 (1967), 273-289. | MR

[13] M. A. KRASNOSELSKII: Topological methods in the theory on nonlinear integral equations. GITTL, Moscow, (1956); English transl., Macmillan, New York, 1964. | MR

[14] M. A. KRASNOSELSKII: Positive solutions of operator equations. Moscow, 1962; Engl. transl. Nordhoff Ltd, 1964. | MR

[15] G. J. MINTY: On a "monotonicity" method for the solution of nonlinear equations in Banach spaces. Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 1038-1041. | MR | Zbl

[16] G. V. NESTERENKO: A certain class of nonlinear integral equations. Trudy Irkutsk. Gos. Univ. 26 (1968), 55-65. | MR

[17] E. R. ROTHE: Weak topology and nonlinear integral equations. Trans. Amer. Math. Soc. 66 (1949), 75-92. | MR | Zbl

[18] M. VAINBERG: Variational methods for the study of nonlinear operators. GITTL, Moscow, 1956; Engl, transl. Holden-Day, San Francisco, Calif., 1964. | MR