Generic flows generated by continuous vector fields in Banach spaces

DOI10.1016/0001-8708(83)90045-2zbMath0601.34033OpenAlexW2077402709MaRDI QIDQ1081014

Józef Myjak, Francesco S. de Blasi

Publication date: 1983

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(83)90045-2

zbMATH Keywords

first order differential equationglobal resultsEuler- Cauchy polygonslocal results

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)

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Generic well-posedness of variational problems without convexity assumptions ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Nondifferentiability of a cost function at a point of minimum in minimax problems ⋮ Generic convergence of infinite products of positive linear operators ⋮ The non-linear sewing lemma III: stability and generic properties ⋮ Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces ⋮ Convergence of Krasnoselskii-Mann iterations of nonexpansive operators ⋮ Generic well-posedness of minimization problems with mixed continuous constraints. ⋮ Generic well-posedness of minimization problems with mixed smooth constraints ⋮ Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces ⋮ Generic power convergence of operators in banach spaces ⋮ Generic power convergence of order-preserving mappings ⋮ Well-posedness and porosity in the calculus of variations without convexity assumptions

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• Generic Existence of a Solution for a Differential Equation in a Scale of Banach Spaces
• On a characterization of flow‐invariant sets