Existence theorems for a variant of Hammerstein's integral equation

M. Joshi

Commentationes Mathematicae Universitatis Carolinae (1975)

  • Volume: 016, Issue: 2, page 255-271
  • ISSN: 0010-2628

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Joshi, 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

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  1. H. AMANN, Existence theorems for equations of Hammerstein type, Applicable Analysis 2 (1972), 385-397. (1972) MR0394339
  2. H. BREZIS, Equations et inéquations nonlinéaires dans les espaces vectoriels en dualité, Annales de l'Institut Fourier (Grenoble) 18 (1968), 115-175. (1968) MR0270222
  3. 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
  4. C. L. DOLPH, Nonlinear integral equations of Hammerstein type, Trans. Amer. Math. Soc. 66 (1949), 289-307. (1949) MR0032923
  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. (1964) MR0161113
  6. M. GOLOMB, On the theory of nonlinear integral equations, integral systems and general functional equations, Math. Z. 39 (1935), 45-75. (1935) 
  7. A. HAMMERSTEIN, Nichtlineare Integralgleichungen nebst Anwendungen, Acta Math. 54 (1930), 117-176. (1930) MR1555304
  8. R. IGLISCH, Existenz und Eindeutigskeit-Sätze bei nichtlinearen Integralgleichungen, Math. Annalen 108 (1933), 161-189. (1933) MR1512842
  9. R. I. KACHUROVSKI, Nonlinear monotone operators on Banach spaces, Russian Math. Surveys 23 (1968), 117-165. (1968) 
  10. I. I. KOLODNER, Equations of Hammeratein type in Hilbert space, J. Math. Mech. 13 (1964), 701-750. (1964) MR0171184
  11. J. KOLOMÝ, Applications of some existence theorems for the solutions of Hammerstein integral equations, Comment. Math. Univ. Carolinae 7 (1966), 461-478. (1966) MR0209790
  12. J. KOLOMÝ, The solvability of nonlinear integral equations, Comment. Math. Univ. Carolinae 8 (1967), 273-289. (1967) MR0215033
  13. M. A. KRASNOSELSKII, Topological methods in the theory on nonlinear integral equations, GITTL, Moscow, (1956); English transl., Macmillan, New York, 1964. (1956) MR0159197
  14. M. A. KRASNOSELSKII, Positive solutions of operator equations, Moscow, 1962; Engl. transl. Nordhoff Ltd, 1964. (1962) MR0181881
  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. (1963) Zbl0124.07303MR0162159
  16. G. V. NESTERENKO, A certain class of nonlinear integral equations, Trudy Irkutsk. Gos. Univ. 26 (1968), 55-65. (1968) MR0268619
  17. E. R. ROTHE, Weak topology and nonlinear integral equations, Trans. Amer. Math. Soc. 66 (1949), 75-92. (1949) Zbl0034.36502MR0031650
  18. 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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