ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (SCI-Expanded)
Article / Article
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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:
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.