In this paper, by using Guo-Krasnosel'skii fixed point theorem in cones, we study the existence, multiplicity and infinite solvability of positive solutions for the following three-point boundary value problems for -Laplacian dynamic equations on time scales
By multiplicity we mean the existence of arbitrary number of solutions.
Submitted April 14, 2006. Published August 22, 2006.
Math Subject Classifications: 34B10, 34B18, 39A10.
Key Words: Time scales; p-Laplacian; boundary value problem; positive solution; existence; multiplicity; infinite solvability.
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| Da-Bin Wang |
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu, 730050, China
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