Iterative functional equation \(x(x(t))= f(t)\) with \(f(t)\) piecewise linear
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Publication:1971837
DOI10.1016/S0377-0427(99)00308-8zbMath0945.65143MaRDI QIDQ1971837
Publication date: 24 September 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
algorithmsiterationfunctional equationiterative functional equationpiecewise linear functionsiterative square roots
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Related Items (12)
Computing iterative roots of polygonal functions ⋮ Construction of continuous solutions and stability for the polynomial-like iterative equation ⋮ Existence of iterative roots for the sickle-like functions ⋮ Continuity of iteration and approximation of iterative roots ⋮ Unnamed Item ⋮ Local \(C^1\) stability versus global \(C^1\) unstability for iterative roots ⋮ Unnamed Item ⋮ Solution of $F(z+1)=\exp \big (F(z)\big )$ in complex $z$-plane ⋮ Existence of continuous solutions and stability for a general iterative functional equation ⋮ How violently do smooth iterative roots oscillate? ⋮ Non-monotonic solutions and continuously differentiable solutions of conjugacy equations ⋮ Local \(C^r\) stability for iterative roots of orientation-preserving self-mappings on the interval
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