existence of positive solutions for m-point boundary value problems on time scales
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ID: 166771
2009
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Abstract
We study the one-dimensional p-Laplacian m-point boundary value problem (φp(uΔ(t)))Δ+a(t)f(t,u(t))=0, t∈[0,1]T, u(0)=0, u(1)=∑i=1m−2aiu(ξi), where T is a time scale, φp(s)=|s|p−2s, p>1, some new results are obtained for the existence of at least one, two, and three
positive solution/solutions of the above problem by using Krasnosel′skll′s 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 p-Laplacian m-point boundary value problem on time scales has been studied.
| Reference Key |
zhang2009discreteexistence
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|---|---|
| Authors | ;Ying Zhang;ShiDong Qiao |
| Journal | Journal of the American Heart Association |
| Year | 2009 |
| DOI |
10.1155/2009/189768
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| URL | |
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