Cross-sections of solution funnels

DOI10.1016/J.JMAA.2015.08.026zbMath1327.34113OpenAlexW1432349347MaRDI QIDQ499178

Paola Vivi, Petr Hájek

Publication date: 30 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.026

zbMATH Keywords

Banach spaceODEsolution funnel

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Cites Work

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• On Peano's theorem in Banach spaces
• Differential equations in Banach spaces: Five examples
• On infinite dimensional differential equations
• Funnel sections
• The shape of a cross-section of the solution funnel of an ordinary differential equation
• Smooth negligibility of compact sets in infinite-dimensional Banach spaces, with applications
• Topology and descriptive set theory
• Le correspondant topologique de l'unicité dans la théorie des équations différentielles
• Cross-sections of solution funnels in Banach spaces
• All separable Banach space admit for every ε>0 fundamental total and bounded by 1 + ε biorthogonal sequences
• On Osgood theorem in Banach spaces

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