Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane. II.

DOI10.1016/S0898-1221(01)00168-7zbMath1080.39015MaRDI QIDQ1600391

Panayiotis D. Siafarikas, Eugenia N. Petropoulou

Publication date: 13 June 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilitydifference equationsBanach spacefixed point theorembounded solutions

Mathematics Subject Classification ID

Related Items (5)

A ``discretization technique for the solution of ODEs ⋮ Asymptotic behavior of recursions via fixed point theory ⋮ Existence of complex ℓ₂solutions of linear delay systems of difference equations ⋮ Bounded solutions and asymptotic stability of nonlinear second-order neutral difference equations with quasi-differences ⋮ Solutions of nonlinear delay and advanced partial difference equations in the space \(l_{\mathbb N \times \mathbb N}^{1}\)

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• On the existence of positive solutions of higher order difference equations
• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• On the convergence of power series those coefficients satisfy a poincaré type linear and nonlinear difference equation
• Global attractivity and convergence to a two-cycle in a difference equation
• Global attractivity in a nonlinear second‐order difference equation
• Recent Advances in Liapunov Stability Theory

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