On a global implicit function theorem and some applications to integro-differential initial value problems

DOI10.1007/s10474-016-0589-yzbMath1413.47088OpenAlexW2339632417MaRDI QIDQ1701309

Marek Galewski, Marcin Koniorczyk

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0589-y

zbMATH Keywords

duality mappingintegro-differential equationglobal implicit function theoremmountain pass geometrylocal implicit function theorem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (6)

Global invertibility of mappings between Banach spaces and applications to nonlinear equations ⋮ Global implicit function theorems and the online expectation–maximisation algorithm ⋮ A global diffeomorphism theorem and a unique weak solution of Dirichlet problem ⋮ New inverse and implicit function theorems for differentiable maps with isolated critical points ⋮ An exploration of \(L^p\)-theory for forward-backward stochastic differential equations with random coefficients on small durations ⋮ Surjection and inversion for locally Lipschitz maps between Banach spaces

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