In this article, we consider a nonlinear even-order m-point boundary-value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions for higher order nonlinear m-point boundary-value problems on time scales by using the four functionals fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively.
Submitted October 15, 2012. Published February 8, 2013.
Math Subject Classifications: 34B18, 34N05, 39A10.
Key Words: Boundary value problems; cone; fixed point theorems; positive solutions; time scales.
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| Ismail Yaslan |
Pamukkale University, Department of Mathematics
20070 Denizli, Turkey
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