The implicit function theorem and its substitutes in Poincaré's qualitative theory of differential equations

DOI10.1016/J.SHPSB.2014.01.006zbMath1294.01020OpenAlexW2021818454MaRDI QIDQ407343

Jean Mawhin

Publication date: 29 August 2014

Published in: Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.shpsb.2014.01.006

zbMATH Keywords

differential equationimplicit function theoremPoincaré

Mathematics Subject Classification ID

Three-body problems (70F07) General theory of rotating fluids (76U05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Celestial mechanics (70F15) History of mathematics in the 19th century (01A55) History of real functions (26-03) History of mechanics of particles and systems (70-03) History of fluid mechanics (76-03)

Related Items (3)

Periodic solutions to perturbed nonlinear oscillators with memory ⋮ Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force ⋮ About the notion of non-T -resonance and applications to topological multiplicity results for ODEs on differentiable manifolds

Cites Work

• Henri Poincaré
• A Simple Approach to Brouwer Degree Based on Differential Forms
• Variations on Poincaré-Miranda’s Theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The implicit function theorem and its substitutes in Poincaré's qualitative theory of differential equations