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Existence of triple positive solutions of two-point right focal boundary value problems on time scales
Authors:KL Boey  Patricia JY Wong
Affiliation:School of Electrical and Electronic Engineering Nanyang Technological University 50, Nanyang Avenue, Singapore 639798
Abstract:We consider the following boundary value problem, (−1)n−1yΔn(t)=(−1)p+1F(t,y(σn−1(t))),ta,b]∩T, yΔn(a)=0,0≤ip−1, yΔn(σ(b))=0,pin−1,where n ≥ 2, 1 ≤ pn - 1 is fixed and T is a time scale. By applying fixed-point theorems for operators on a cone, existence criteria are developed for triple positive solutions of the boundary value problem. We also include examples to illustrate the usefulness of the results obtained.
Keywords:Positive solutions  Boundary value problems  Two-point right focal boundary conditions  Time scales
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