A priori solution estimates for nonlinear vector integral equations

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Nonlinear vector integral equations are considered. Solution estimates and solvability conditions are derived. Applications to the periodic boundary value problem are also discussed. Under some restrictions our results improve the well-known ones. The main tool in the paper is the recent estimates for the resolvent of Hilbert-Schmidt operators.

Original languageEnglish
Pages (from-to)187-200
Number of pages14
JournalJournal of Applied Analysis
Issue number2
StatePublished - 1 Dec 2003


  • Nonlinear vector integral equations
  • Periodic boundary value problem
  • Solution estimates
  • Solvability


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