Existence of Positive Solutions for -Point Boundary Value Problems on Time Scales

Ying Zhang and ShiDong Qiao

Discrete Dynamics in Nature and Society, 2009, vol. 2009, 1-12

Abstract:

We study the one-dimensional -Laplacian -point boundary value problem , , , , where is a time scale, , , some new results are obtained for the existence of at least one, two, and three positive solution/solutions of the above problem by using fixed point theorem, new fixed point theorem due to Avery and Henderson, as well as Leggett-Williams fixed point theorem. This is probably the first time the existence of positive solutions of one-dimensional -Laplacian -point boundary value problem on time scales has been studied.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:189768

DOI: 10.1155/2009/189768

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