Multiple positive solutions of boundary value problems for second-order discrete equations on the half-line |
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| Authors: | Yu Tian Weigao Ge |
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| Institution: | 1. Beijing University of Posts and Telecommunications, School of Science , Beijing, 100876, P.R. China tianyu2992@bit.edu.cn;3. Beijing Institute of Technology, Department of Applied Mathematics , Beijing, 100081, P.R. China |
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| Abstract: | In this paper, we study the existence of multiple positive solutions of boundary value problems for second-order discrete equations Δ2 x(n ? 1) ? pΔx(n ? 1) ? qx(n ? 1)+f(n, x(n)) = 0, n ∈ {1,2,…}, αx(0) ? βΔx(0) = 0, x(∞) = 0. The proofs are based on the fixed point theorem in Fréchet space (see Agarwal and O'Regan, 2001, Cone compression and expansion and fixed point theorems in Fréchet spaces with application, Journal of Differential Equations, 171, 412–42). |
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| Keywords: | Second-order discrete equations Fréchet space Half-line Boundary value problem |
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