Solvability and the number of solutions of Hammerstein equations

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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.

Original languageEnglish (US)
Pages (from-to)1-25
Number of pages25
JournalElectronic Journal of Differential Equations
Volume2004
StatePublished - Jan 1 2004

All Science Journal Classification (ASJC) codes

  • Analysis

Keywords

  • A-proper maps
  • Approximation solvability
  • Hammerstein equations

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