Existence of Triple Positive Solutions for Second-Order Discrete Boundary Value Problems
2007 ◽
Vol 2007
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pp. 1-10
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Keyword(s):
By using a new fixed-point theorem introduced by Avery and Peterson (2001), we obtain sufficient conditions for the existence of at least three positive solutions for the equationΔ2x(k−1)+q(k)f(k,x(k),Δx(k))=0, fork∈{1,2,…,n−1}, subject to the following two boundary conditions:x(0)=x(n)=0orx(0)=Δx(n−1)=0, wheren≥3.
2015 ◽
Vol 20
(2)
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pp. 188-204
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2009 ◽
Vol 210
(1)
◽
pp. 80-86
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2011 ◽
Vol 2011
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pp. 1-8
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2009 ◽
Vol 2009
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pp. 1-15
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Keyword(s):