Existence theory for nonlinear operator equations of hammerstein type in Banach spaces

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3 Citations (Scopus)

Abstract

We use topological methods to develop an existence theory for nonlinear operator equations of Hammerstein type in Banach spaces. In particular our theory yields existence results to initial and boundary value problems for functional-differential equations in abstract spaces.

Original languageEnglish
Pages (from-to)121-134
Number of pages14
JournalDynamic Systems and Applications
Volume14
Issue number1
Publication statusPublished - Mar 2005

Keywords

  • Abstract Hammerstein equation
  • Evolution equation
  • Integro-differential equation
  • Nonlinear integral equation

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