Ordinary Differential Equations in Algebras of Generalized Functions

DOI10.1007/978-3-0348-0585-8_13zbMath1275.46025arXiv1701.02242OpenAlexW185320429MaRDI QIDQ4914476

Evelina Erlacher, Michael Grosser

Publication date: 12 April 2013

Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02242

zbMATH Keywords

existence and uniquenessODEFrobenius theoremColombeau generalized functionslocal solution\(c\)-bounded

Mathematics Subject Classification ID

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Differential equations in abstract spaces (34G99)

Related Items (5)

Geodesics in nonexpanding impulsive gravitational waves with Λ. II ⋮ Inverse Function Theorems for Generalized Smooth Functions ⋮ Generalized group actions in a global setting ⋮ Calculus of variations and optimal control for generalized functions ⋮ Almost periodic generalized solutions of differential equations

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• Comparison of some solution concepts for linear first-order hyperbolic differential equations with non-smooth coefficients
• A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves
• Zur Theorie und Anwendung des Iterationsverfahrens

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