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- W2011380129 abstract "Abstract We consider a convolution-type integral equation u = k ⋆ g(u) on the half line (−∞; a), a ∈ ℝ, with kernel k(x) = x α−1, 0 < α, and function g(u), continuous and nondecreasing, such that g(0) = 0 and 0 < g(u) for 0 < u. We concentrate on the uniqueness problem for this equation, and we prove that if α ∈ (1, 4), then for any two nontrivial solutions u 1, u 2 there exists a constant c ∈ ℝ such that u 2(x) = u 1(x +c), −∞ < x. The results are obtained by applying Hilbert projective metrics." @default.
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- W2011380129 date "2012-01-01" @default.
- W2011380129 modified "2023-10-05" @default.
- W2011380129 title "Uniqueness of solutions to an Abel type nonlinear integral equation on the half line" @default.
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- W2011380129 doi "https://doi.org/10.2478/s11533-012-0104-9" @default.
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