We are interested in the existence of positive solutions for the -Laplacian dynamic equation on time scales,
subject to the multipoint boundary condition,
where , , , . By using fixed point theorems, we prove the existence of at least three non-negatvie solutions, two of them positive, to the above boundary value problem. The interesting point is the nonlinear term f is involved with the first order derivative explicitly. An example is given to illustrate the main result.
Submitted December 3, 2013. Published January 30, 2014.
Math Subject Classifications: 34B15, 34B16, 34B18, 39A10.
Key Words: Time scales; boundary value problem; p-Laplacian; positive solution; fixed point theorem.
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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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