Geodesic
On the unique constructive solvability of Hammerstein equations
Electronic journal of differential equations, Tome 2002 (2002)
We study the unique constructive solvability of Hammerstein operator equation in Banach spaces using iterative and projection like methods. Some error estimates are also given. The linear part is assumed to be either selfadjoint or non-selfadjoint. Applications to Hammerstein integral equations are given.
Classification : 47H14, 35L70, 35L75, 35J40
Keywords: unique approximation, solvability, Hammerstein equations, A-proper maps, surjectivity, error estimates 
@article{EJDE_2002__2002__a15,
     author = {Milojevi\'c,  Petronije S.},
     title = {On the unique constructive solvability of {Hammerstein} equations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1022.47046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a15/}
}
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%0 Journal Article
%A Milojević,  Petronije S.
%T On the unique constructive solvability of Hammerstein equations
%J Electronic journal of differential equations
%D 2002
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Milojević,  Petronije S. On the unique constructive solvability of Hammerstein equations. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a15/