Geodesic
Approximation-solvability of Hammerstein equations
Publications de l'Institut Mathématique, _N_S_58 (1995) no. 72, p. 71

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We study Hammerstein operator equations of the form $ x-KFx=f \eqno (1.1) $ where $K$ is linear and $F$ is a nonlinear map. We first study Eq.~(1.1) in the operator form using the (pseudo) $A$-proper mapping approach and the Brouwer degree theory. Then we apply the obtained results to Hammerstein integral equations.
Classification : 47H15 35L70 35L75 35J40
Keywords: Approximation solvability, (pseudo) A-proper maps, surjectivity, elliptic, hyperbolic equations 
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     author = {P. Milojevi\'c},
     title = {Approximation-solvability of {Hammerstein} equations},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {71 },
     publisher = {mathdoc},
     volume = {_N_S_58},
     number = {72},
     year = {1995},
     zbl = {0999.47504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1995_N_S_58_72_a7/}
}
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P. Milojević. Approximation-solvability of Hammerstein equations. Publications de l'Institut Mathématique, _N_S_58 (1995) no. 72, p. 71 . http://geodesic.mathdoc.fr/item/PIM_1995_N_S_58_72_a7/