Explicit solution of certain nonlinear difference equations by using power polynomials

DOI10.1016/S0898-1221(01)00214-0zbMath0981.39002OpenAlexW2068166758MaRDI QIDQ5948855

Zdzislaw W. Trzaska

Publication date: 12 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00214-0

zbMATH Keywords

nonlinear difference equations\({\mathcal Z}\)-transformationpower polynomials

Mathematics Subject Classification ID

Additive difference equations (39A10)

Uses Software

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Cites Work

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• On the paths to the zeros of a polynomial
• On the existence of positive solutions of higher order difference equations
• Computational partial differential equations. Numerical methods and Diffpack programming
• Numerical triangle, Fibonacci sequence and ladder networks: Some further results
• Explicit solutions of implicit second-order difference systems in unbounded bilateral domains
• Existence of positive solutions for higher order difference equations
• A simple method of recursive parameter identification for a class of distributed parameter systems

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