Weak growth conditions for ODEs in pre-ordered Banach spaces

DOI10.1007/s00208-004-0574-6zbMath1062.34060OpenAlexW2032711560MaRDI QIDQ707447

Gerd Herzog, Roland Lemmert

Publication date: 9 February 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-004-0574-6

zbMATH Keywords

differential equationuniqueness of solutiongrowth conditionseminormquasimonotone increasing function

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Growth and boundedness of solutions to ordinary differential equations (34C11) Monotone systems involving ordinary differential equations (34C12)

Cites Work

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• Über die Invarianz konvexer Mengen und Differentialungleichungen in einem normierten Raume
• On a Theorem of Mierczyński
• Ordinary differential inequalities and quasimonotonicity in ordered topological vector spaces
• One-sided estimates for quasimonotone increasing functions
• The Duality of Partially Ordered Normed Linear Spaces
• Decay of the total variation and Hardy norms of solutions to parabolic conservation laws

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