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Positive Solutions of Two-point right focal boundary value problems on time scales

By K.L. Boey and Patricia J.Y. Wong


AbstractWe consider the following boundary value problem,(−1)n−1yΔn(t)=(−1)p+1F(t,y(σn−1(t))),t∈[a,b]∩T,yΔi(a)=0,0≤i≤p−1,yΔi(σ(b))=0,p≤i≤n−1,where n ≥ 2, 1 ⩽ p ⩽ n - 1 is fixed and T is a time scale. Criteria for the existence of single, double, and multiple positive solutions of the boundary value problem are developed. Upper and lower bounds for these positive solutions are established for two special cases that arise from some physical phenomena. We also include several examples to illustrate the usefulness of the results obtained

Publisher: Published by Elsevier Ltd.
Year: 2006
DOI identifier: 10.1016/j.camwa.2006.08.025
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