EIGENVALUE PROBLEMS FOR SINGULAR MULTI-POINT DYNAMIC EQUATIONS ON TIME SCALES

DOĞAN A.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Time scales, singular multi-point dynamic equations, eigenvalue problems, Green's function, positive solutions, fixed point index theory, BOUNDARY-VALUE-PROBLEMS, SIGN CHANGING NONLINEARITY, M-POINT BVP, POSITIVE SOLUTIONS, INCREASING HOMEOMORPHISM, DIFFERENCE-EQUATIONS, EXISTENCE, HOMOMORPHISM
  • Abdullah Gül University Affiliated: Yes

Abstract

In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results.