On the unique constructive solvability of Hammerstein equations

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Abstract

We study the unique constructive solvability of Hammerstein operator equation in Banach spaces using iterative and projection like methods. Some error estimates are also given. The linear part is assumed to be either selfadjoint or non-selfadjoint. Applications to Hammerstein integral equations are given.

Original languageEnglish (US)
JournalElectronic Journal of Differential Equations
Volume2002
StatePublished - Dec 1 2002

All Science Journal Classification (ASJC) codes

  • Analysis

Keywords

  • A-proper maps
  • Error estimates
  • Hammerstein equations
  • Solvability
  • Surjectivity
  • Unique approximation

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