Existence theorems for a variant of Hammerstein's integral equation
Commentationes Mathematicae Universitatis Carolinae (1975)
- Volume: 016, Issue: 2, page 255-271
- ISSN: 0010-2628
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topJoshi, M.. "Existence theorems for a variant of Hammerstein's integral equation." Commentationes Mathematicae Universitatis Carolinae 016.2 (1975): 255-271. <http://eudml.org/doc/16685>.
@article{Joshi1975,
author = {Joshi, M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {255-271},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Existence theorems for a variant of Hammerstein's integral equation},
url = {http://eudml.org/doc/16685},
volume = {016},
year = {1975},
}
TY - JOUR
AU - Joshi, M.
TI - Existence theorems for a variant of Hammerstein's integral equation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1975
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 016
IS - 2
SP - 255
EP - 271
LA - eng
UR - http://eudml.org/doc/16685
ER -
References
top- H. AMANN, Existence theorems for equations of Hammerstein type, Applicable Analysis 2 (1972), 385-397. (1972) MR0394339
- H. BREZIS, Equations et inéquations nonlinéaires dans les espaces vectoriels en dualité, Annales de l'Institut Fourier (Grenoble) 18 (1968), 115-175. (1968) MR0270222
- F. E. BROWDER C. P. GUPTA, Nonlinear monotone operators and integral equations of Hammerstein type, Bull. Amer. Math. Soc. 75 (1969), 1347-1353. (1969) MR0250141
- C. L. DOLPH, Nonlinear integral equations of Hammerstein type, Trans. Amer. Math. Soc. 66 (1949), 289-307. (1949) MR0032923
- 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. (1964) MR0161113
- M. GOLOMB, On the theory of nonlinear integral equations, integral systems and general functional equations, Math. Z. 39 (1935), 45-75. (1935)
- A. HAMMERSTEIN, Nichtlineare Integralgleichungen nebst Anwendungen, Acta Math. 54 (1930), 117-176. (1930) MR1555304
- R. IGLISCH, Existenz und Eindeutigskeit-Sätze bei nichtlinearen Integralgleichungen, Math. Annalen 108 (1933), 161-189. (1933) MR1512842
- R. I. KACHUROVSKI, Nonlinear monotone operators on Banach spaces, Russian Math. Surveys 23 (1968), 117-165. (1968)
- I. I. KOLODNER, Equations of Hammeratein type in Hilbert space, J. Math. Mech. 13 (1964), 701-750. (1964) MR0171184
- J. KOLOMÝ, Applications of some existence theorems for the solutions of Hammerstein integral equations, Comment. Math. Univ. Carolinae 7 (1966), 461-478. (1966) MR0209790
- J. KOLOMÝ, The solvability of nonlinear integral equations, Comment. Math. Univ. Carolinae 8 (1967), 273-289. (1967) MR0215033
- M. A. KRASNOSELSKII, Topological methods in the theory on nonlinear integral equations, GITTL, Moscow, (1956); English transl., Macmillan, New York, 1964. (1956) MR0159197
- M. A. KRASNOSELSKII, Positive solutions of operator equations, Moscow, 1962; Engl. transl. Nordhoff Ltd, 1964. (1962) MR0181881
- 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. (1963) Zbl0124.07303MR0162159
- G. V. NESTERENKO, A certain class of nonlinear integral equations, Trudy Irkutsk. Gos. Univ. 26 (1968), 55-65. (1968) MR0268619
- E. R. ROTHE, Weak topology and nonlinear integral equations, Trans. Amer. Math. Soc. 66 (1949), 75-92. (1949) Zbl0034.36502MR0031650
- M. VAINBERG, Variational methods for the study of nonlinear operators, GITTL, Moscow, 1956; Engl, transl. Holden-Day, San Francisco, Calif., 1964. (1956) MR0176364
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