Factor-analysis of nonlinear mappings: \(p\)-regularity theory

DOI10.3934/cpaa.2003.2.425zbMath1053.58004OpenAlexW2121209716MaRDI QIDQ1423928

Jerrold E. Marsden, Alexey A. Tret'yakov

Publication date: 7 March 2004

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2003.2.425

zbMATH Keywords

numerical methodbifurcationsingularitydifferential equationsimplicit functionoptimality conditionnonlinear mapping\(p\)-regularityfactor operator

Mathematics Subject Classification ID

Nonlinear programming (90C30) Regularity of solutions in optimal control (49N60) Bifurcations of singular points in dynamical systems (37G10) Numerical solutions to equations with nonlinear operators (65J15) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Bifurcations in context of PDEs (35B32) Critical points of functions and mappings on manifolds (58K05) Optimality conditions for problems in abstract spaces (49K27) Implicit function theorems; global Newton methods on manifolds (58C15)

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