Electron. J. Diff. Eqns., Vol. 2004(2004), No. 54, pp. 1-25.

Solvability and the number of solutions of Hammerstein equations

Petronije S. Milojevic

Abstract:
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.

Submitted December 12, 2003. Published April 8, 2004.
Math Subject Classifications: 47H15, 35L70, 35L75, 35J40.
Key Words: Approximation solvability, Hammerstein equations, A-proper maps.

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Petronije S. Milojevic
Department of Mathematical Sciences and CAMS
New Jersey Institute of Technology, Newark, NJ, USA
email: pemilo@m.njit.edu

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