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

Dogan A., Graef J. R., Kong L.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.60, no.1, pp.23-35, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 1
  • Publication Date: 2010
  • Doi Number: 10.1016/j.camwa.2010.04.026
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.23-35
  • Keywords: Positive solutions, Semipositone boundary value problems, Multi-point boundary condition, SIGN CHANGING NONLINEARITY, M-POINT BVP, POSITIVE SOLUTIONS, INCREASING HOMEOMORPHISM, P-LAPLACIAN, EXISTENCE, HOMOMORPHISM
  • Abdullah Gül University Affiliated: No

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. (C) 2010 Elsevier Ltd. All rights reserved.