POSITIVE SOLUTIONS OF THE p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES WITH SIGN CHANGING NONLINEARITY

DOĞAN A.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Time scales, p-Laplacian, positive solutions, fixed point index, cone, BOUNDARY-VALUE-PROBLEMS, SINGULAR P, EXISTENCE, BVPS
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

This article concerns the existence of positive solutions for p-Laplacian boundary value problem on time scales. By applying fixed point index we obtain the existence of solutions. Emphasis is put on the fact that the nonlinear term is allowed to change sign. An example illustrates our results.