| Title:
|
Existence theorems for a variant of Hammerstein's integral equation (English) |
| Author:
|
Joshi, M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
16 |
| Issue:
|
2 |
| Year:
|
1975 |
| Pages:
|
255-271 |
| . |
| Category:
|
math |
| . |
| MSC:
|
45G10 |
| MSC:
|
45G99 |
| MSC:
|
47G05 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0316.45014 |
| idMR:
|
MR0380521 |
| . |
| Date available:
|
2008-06-05T20:47:47Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105622 |
| . |
| Reference:
|
[1] H. AMANN: Existence theorems for equations of Hammerstein type.Applicable Analysis 2 (1972), 385-397. MR 0394339 |
| Reference:
|
[2] H. BREZIS: Equations et inéquations nonlinéaires dans les espaces vectoriels en dualité.Annales de l'Institut Fourier (Grenoble) 18 (1968), 115-175. MR 0270222 |
| Reference:
|
[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 0250141 |
| Reference:
|
[4] C. L. DOLPH: Nonlinear integral equations of Hammerstein type.Trans. Amer. Math. Soc. 66 (1949), 289-307. MR 0032923 |
| Reference:
|
[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 0161113 |
| Reference:
|
[6] M. GOLOMB: On the theory of nonlinear integral equations, integral systems and general functional equations.Math. Z. 39 (1935), 45-75. |
| Reference:
|
[7] A. HAMMERSTEIN: Nichtlineare Integralgleichungen nebst Anwendungen.Acta Math. 54 (1930), 117-176. MR 1555304 |
| Reference:
|
[8] R. IGLISCH: Existenz und Eindeutigskeit-Sätze bei nichtlinearen Integralgleichungen.Math. Annalen 108 (1933), 161-189. MR 1512842 |
| Reference:
|
[9] R. I. KACHUROVSKI: Nonlinear monotone operators on Banach spaces.Russian Math. Surveys 23 (1968), 117-165. |
| Reference:
|
[10] I. I. KOLODNER: Equations of Hammeratein type in Hilbert space.J. Math. Mech. 13 (1964), 701-750. MR 0171184 |
| Reference:
|
[11] J. KOLOMÝ: Applications of some existence theorems for the solutions of Hammerstein integral equations.Comment. Math. Univ. Carolinae 7 (1966), 461-478. MR 0209790 |
| Reference:
|
[12] J. KOLOMÝ: The solvability of nonlinear integral equations.Comment. Math. Univ. Carolinae 8 (1967), 273-289. MR 0215033 |
| Reference:
|
[13] M. A. KRASNOSELSKII: Topological methods in the theory on nonlinear integral equations.GITTL, Moscow, (1956); English transl., Macmillan, New York, 1964. MR 0159197 |
| Reference:
|
[14] M. A. KRASNOSELSKII: Positive solutions of operator equations.Moscow, 1962; Engl. transl. Nordhoff Ltd, 1964. MR 0181881 |
| Reference:
|
[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. Zbl 0124.07303, MR 0162159 |
| Reference:
|
[16] G. V. NESTERENKO: A certain class of nonlinear integral equations.Trudy Irkutsk. Gos. Univ. 26 (1968), 55-65. MR 0268619 |
| Reference:
|
[17] E. R. ROTHE: Weak topology and nonlinear integral equations.Trans. Amer. Math. Soc. 66 (1949), 75-92. Zbl 0034.36502, MR 0031650 |
| Reference:
|
[18] M. VAINBERG: Variational methods for the study of nonlinear operators.GITTL, Moscow, 1956; Engl, transl. Holden-Day, San Francisco, Calif., 1964. MR 0176364 |
| . |
