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

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Zbl

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 
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/
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     author = {P. Milojevi\'c},
     title = {Approximation-solvability of {Hammerstein} equations},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {71 },
     year = {1995},
     volume = {_N_S_58},
     number = {72},
     zbl = {0999.47504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1995_N_S_58_72_a7/}
}
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