Positive solutions of nonautonomous linear higher order difference equations

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3 Scopus citations


We consider the scalar difference equation (Formula presented.) with real coefficients a jk , such that (Formula presented.) It is proved that the considered equation has n linearly independent positive solutions, provided all the roots of the polynomial (Formula presented.) are nonnegative. Moreover, lower solution estimates are established.

Original languageEnglish
Pages (from-to)701-706
Number of pages6
JournalApplicable Analysis
Issue number7
StatePublished - 1 Jan 2005


  • 39A11
  • AMS Subject Classification
  • Linear difference equations
  • Positive solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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