On the existence and uniqueness of locally analytic invertible solutions of a system of nonlinear functional equations

DOI10.1016/S0377-0427(02)00362-XzbMath1024.39007MaRDI QIDQ1860380

Nikolaos Kazantzis

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

analytic solutionsnon-resonance conditionsformal power series solutionnonlinear functional equationslocally invertible solutionsSmajdor's theorem

Mathematics Subject Classification ID

Systems of functional equations and inequalities (39B72)

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Cites Work

• Local analytic solutions of the functional equation \(\varphi(z) = h(z, \varphi [f(z))\) in multidimensional spaces]
• Analytic solutions of the equation \(\varphi(z) = h(z, \varphi [f(z))\) with right side contracting]
• Methods of nonlinear analysis. Vol. II
• Discrete-time nonlinear observer design using functional equations
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