Higher order semipositone multi-point boundary value problems on time scales

  • Authors:
  • Abdulkadir Dogan;John R. Graef;Lingju Kong

  • Affiliations:
  • Nigde Universitesi, Fen Edebiyat Fakultesi, Matematik Bolumu, Ogretim Uyesi, 51100 Nigde, Turkey;Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA;Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2010

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Abstract

The authors obtain some existence criteria for positive solutions of a higher order semipositone multi-point boundary value problem on a time scale. Applications to some special problems are also discussed. This work extends and complements many results in the literature on this topic.