Existence and uniqueness of solutions in \(H_{1}(\Delta)\) of a general class of non-linear functional equations

DOI10.1016/S0022-247X(03)00019-2zbMath1021.39011OpenAlexW1500349604MaRDI QIDQ1874607

Eugenia N. Petropoulou, Panayiotis D. Siafarikas

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00019-2

zbMATH Keywords

existenceuniquenessBanach spacefixed point theoremholomorphic functionsbounded solutionsanalytic solutionsfunctional equations for complex functions

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32)

Related Items (2)

Analytic solutions of general nonlinear functional equations near resonance ⋮ Analytic invariant curves for a planar mapping

Cites Work

• An existence theory for functional-differential equations and functional- differential systems
• Analytic solutions for nonlinear differential equations
• A singular functional-differential equation
• ANALYTIC SOLUTIONS OF A POLYNOMIAL-LIKE ITERATIVE FUNCTIONAL EQUATION
• Analytic solutions of a functional equation for invariant curves
• Analytic solutions of a class of linear and nonlinear functional equations
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