Positive solutions of functional difference equations with p-Laplacian operator
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The author studies the boundary value problems with p-Laplacian functional difference equation Δφ p (Δx(t)) + r(t)f(x t ) = 0, t ∈ [0, N], x0 = ψ ∈ C+, x(0) - B0(Δx(0)) = 0, Δx(N+1) = 0. By using a fixed point theorem in cones, sufficient conditions are established for the existence of twin positive solutions.
KeywordsDifferential Equation Partial Differential Equation Ordinary Differential Equation Functional Analysis Functional Equation
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