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

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  • Ying Zhang
  • ShiDong Qiao

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.

Suggested Citation

  • Ying Zhang & ShiDong Qiao, 2009. "Existence of Positive Solutions for -Point Boundary Value Problems on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-12, March.
    • Handle: RePEc:hin:jnddns:189768
    DOI: 10.1155/2009/189768
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