An application of the Krasnoselskii theorem to systems of algebraic equations

Haiyan Wang, Melinda Wang, Emily Wang

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Based on the Krasnoselskii theorem, we study the existence, multiplicity and nonexistence of positive solutions of general systems of nonlinear algebraic equations under superlinearity and sublinearity conditions. Systems of nonlinear algebraic equations often arise from studies of differential and difference equations. Our results significantly extend and improve those in the literature. A number of examples and open questions are given to illustrate these results.

Original languageEnglish (US)
Pages (from-to)585-600
Number of pages16
JournalJournal of Applied Mathematics and Computing
Volume38
Issue number1-2
DOIs
StatePublished - Feb 1 2012

Keywords

  • Cone
  • Krasnoselskii fixed point theorem
  • Nonlinear algebraic system
  • Positive solution

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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