Existence of Positive Solutions form-Point Boundary Value Problems on Time Scales
2009 ◽
Vol 2009
◽
pp. 1-12
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Keyword(s):
We study the one-dimensionalp-Laplacianm-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), whereTis 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 usingKrasnosel′skll′sfixed 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-dimensionalp-Laplacianm-point boundary value problem on time scales has been studied.
2009 ◽
Vol 35
(1-2)
◽
pp. 341-349
◽
2003 ◽
Vol 46
(2)
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pp. 279-292
◽
2009 ◽
Vol 2009
◽
pp. 1-15
◽
2008 ◽
Vol 2008
◽
pp. 1-16
◽
2014 ◽
Vol 2014
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pp. 1-6
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Keyword(s):