Geodesic
Solvability and the number of solutions of Hammerstein equations
Electronic journal of differential equations, Tome 2004 (2004)
We study the solvability and the number of solutions to Hammerstein operator equations in Banach spaces using a projection like method and degree theory for corresponsing vector fields. The linear part is assumed to be either selfadjoint or non-seladjoint. We present also applications to Hammerstein integral equations.
Classification : 47H15, 35L70, 35L75, 35J40
Keywords: approximation solvability, Hammerstein equations, A-proper maps 
@article{EJDE_2004__2004__a0,
     author = {Milojevic,  Petronije S.},
     title = {Solvability and the number of solutions of {Hammerstein} equations},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1069.47067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a0/}
}
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Milojevic,  Petronije S. Solvability and the number of solutions of Hammerstein equations. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a0/