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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