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

DOĞAN A.

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

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2017
  • Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.