EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 58(72), pp. 71--84 (1995)

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Approximation-solvability of Hammerstein equations

P. Milojevi\'c

Department of Mathematics and CAMS, New Jersey Institute of Technology, Newark, New Jersey, USA

Abstract: 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.

Keywords: Approximation solvability, (pseudo) A-proper maps, surjectivity, elliptic, hyperbolic equations

Classification (MSC2000): 47H15, 35L70, 35L75; 35J40

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

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