Generic Existence of a Solution for a Differential Equation in a Scale of Banach Spaces

DOI10.2307/2044452zbMath0507.34048OpenAlexW4255915727MaRDI QIDQ4744600

Domínguez Benavides, Tomás

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044452

zbMATH Keywords

generic propertyBaire categoryscale of Banach spacesresidual subset

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Topology of special sets defined by functions (54C50)

Related Items (5)

Generic flows generated by continuous vector fields in Banach spaces ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Generic properties of continuous differential inclusions and the Tonelli method of approximate solutions ⋮ Generic well-posedness of minimization problems with mixed continuous constraints. ⋮ Projective limits of generalized scales of Banach spaces and applications

Cites Work

• Ordinary differential equations in Banach spaces
• The generic property of existence of solutions of differential equations in Banach space
• Generic properties of functional equations
• The Generic Property of Existence of Solutions of Integral Equations in Banach Spaces
• Existence, uniqueness and approximation of fixed points as a generic property
• Quelques propriétés topologiques du produit combinatoire
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