EXISTENCE, MULTIPLICITY AND INFINITE SOLVABILITY OF POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

نویسنده

  • DA-BIN WANG
چکیده

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 p-Laplacian dynamic equations on time scales [Φp(u 4(t))]O + a(t)f(t, u(t)) = 0, t ∈ [0, T ]T, u(0)−B0(u(η)) = 0, u4(T ) = 0. By multiplicity we mean the existence of arbitrary number of solutions.

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تاریخ انتشار 2006