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

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Time scales, p-Laplacian, positive solutions, fixed point index, cone, BOUNDARY-VALUE-PROBLEMS, SINGULAR P, EXISTENCE, BVPS
  • Abdullah Gül University Affiliated: Yes

Abstract

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.