PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 58(72), pp. 7184 (1995) 

Approximationsolvability of Hammerstein equationsP. Milojevi\'cDepartment of Mathematics and CAMS, New Jersey Institute of Technology, Newark, New Jersey, USAAbstract: We study Hammerstein operator equations of the form $$ xKFx=f \eqno (1.1) $$ 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. Keywords: Approximation solvability, (pseudo) Aproper maps, surjectivity, elliptic, hyperbolic equations Classification (MSC2000): 47H15, 35L70, 35L75; 35J40 Full text of the article:
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