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Differential equations in Banach spaces: Five examples

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Publication:1071161
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DOI10.1007/BF01210783zbMath0585.34042MaRDI QIDQ1071161

Ernst Horst

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

omega-limit points


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) Qualitative theory for ordinary differential equations (34C99)


Related Items (8)

A topological property of the solution funnel of \(x'=f(t,x)\), \(x(0)=x_0\) ⋮ Ordinary differential equations with a continuous right-hand side in Fréchet spaces ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ On Peano's theorem in Banach spaces ⋮ Cross-sections of solution funnels ⋮ Some problems on ordinary differential equations in Banach spaces ⋮ On \(\omega \)-limit sets of ordinary differential equations in Banach spaces ⋮ On ω–limit sets of autonomous systems in infinite dimensional Banach spaces



Cites Work

  • Unnamed Item
  • Funnel sections
  • Ordinary differential equations in Banach spaces


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