The shape of a cross-section of the solution funnel of an ordinary differential equation

zbMath0348.34003MaRDI QIDQ1234398

James T. jun. Rogers

Publication date: 1977

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Continuous maps (54C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

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Aronszajn's theorem for a parabolic partial differential equation, Nonlinear second-order periodic boundary value problems, Pointed shape and global attractors for metrizable spaces, Intrinsic Shape Property of Global Attractors in Metrizable Spaces, Cross-sections of solution funnels, Shape of global attractors in topological spaces, Some problems on ordinary differential equations in Banach spaces, \(\varepsilon \)-connectedness, finite approximations, shape theory and coarse graining in hyperspaces, Shift equivalence in homotopy, Semiflows and intrinsic shape in topological spaces