Solving the Iterative Differential Equation − γ g ′ = g − 1 $$-\gamma g' = g^{-1}$$

Roland Miyamoto () and Jürgen Sander ()
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Jürgen Sander: Institut für Mathematik und Angewandte Informatik

A chapter in Number Theory in Memory of Eduard Wirsing, 2023, pp 223-236 from Springer

Abstract: Abstract We solve the iterative differential equation − γ g ′ = g − 1 $$-\gamma g' = g^{-1}$$ for g : [ 0 , 1 ] → [ 0 , 1 ] $$g\colon [0,1]\to [0,1]$$ and for one particular parameter γ = κ ≈ 0.27887706137 $$\gamma =\kappa \approx 0.27887706137$$ and show that it has no solution for larger parameters, nor for positive parameters γ

Keywords: Iterative differential equation; Operator; Fixed point; Convergence theorem (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-31617-3_14

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DOI: 10.1007/978-3-031-31617-3_14

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