On the convergence of power series those coefficients satisfy a poincaré type linear and nonlinear difference equation

DOI10.1080/17476938708814250zbMath0632.39006OpenAlexW1997244295MaRDI QIDQ3769341

Publication date: 1987

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476938708814250

zbMATH Keywords

Hilbert space analytic function power series Banach space nonlinear difference equations operator equation Poincaré difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10)

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Concavity and convexity of eigenvalues ⋮ A ``discretization technique for the solution of ODEs ⋮ A discrete equivalent of the logistic equation ⋮ Existence of complex ℓ₂solutions of linear delay systems of difference equations ⋮ A “Discretization” Technique for the Solution of ODEs II ⋮ Solutions of nonlinear delay and advanced partial difference equations in the space \(l_{\mathbb N \times \mathbb N}^{1}\) ⋮ On the Logistic Equation in the Complex Plane ⋮ Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane. II. ⋮ On some difference equations with exponential nonlinearity

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