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.
Submitted November 17, 2017. Published January 30, 2018.
Math Subject Classifications: 34B15, 34B18, 34N05.
Key Words: Time scales; p-Laplacian; positive solutions; fixed point index; cone.
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| Abdulkadir Dogan |
Department of Applied Mathematics
Faculty of Computer Sciences
Abdullah Gul University
Kayseri, 38039 Turkey.
Tel +90 352 224 88 00, Fax +90 352 338 88 28
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