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

Journal of Computational and Applied Mathematics

Volumn 146, Issue 2, 2002, Pages 301-308

  Kazantzis, Nikolaos ^a  

^a Worcester Polytechnic Institute   (United States)

Author keywords

Analytic solutions; Locally invertible solutions; Non resonance conditions; Nonlinear functional equations; Power series; Smajdor's theorem

Indexed keywords

COMPUTER SOFTWARE; MATRIX ALGEBRA; NONLINEAR EQUATIONS;

LINEAR PROBLEM;

COMPUTATIONAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 0037106112     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00362-X     Document Type: Article

References (11)

1. Discrete-time nonlinear observer design using functional equations
2. Analytic solutions of the equation ø(z) = h(z,ø[f(z)]) with right side contracting
3. Local analytic solutions of the functional equation ø(z) = h(z,ø[f(z)]) in multidimensional spaces