Eigenvalue approach to even order system periodic boundary value problems

Qingkai Kong, Min Wang

Research output: Contribution to journalArticle

4 Scopus citations


We study an even order systemboundary value problemwith periodic boundary conditions. By establishing the existence of a positive eigenvalue of an associated linear system Sturm-Liouville problem, we obtain new conditions for the boundary value problem to have a positive solution. Our major tools are the Krein-Rutman theorem for linear spectra and the fixed point index theory for compact operators.

Original languageEnglish (US)
Pages (from-to)102-115
Number of pages14
JournalCanadian Mathematical Bulletin
Issue number1
StatePublished - Feb 18 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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