Existence, uniqueness, and continuous dependence for hereditary differential equations

DOI10.1016/0022-0396(89)90127-7zbMath0709.34062OpenAlexW2031066695MaRDI QIDQ921225

Primo Brandi, Rita Ceppitelli

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90127-7

zbMATH Keywords

existenceuniquenessfunctional differential equationscontinuous dependencehereditary structure

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Functional-differential equations in abstract spaces (34K30)

Related Items (13)

Haar inequality in hereditary setting and applications ⋮ Existence theorems for optimal control problems in hereditary structures ⋮ Uniqueness and continuous dependence of the solutions for functional differential equations as a generic property ⋮ A new graph topology. connections with the compact open topology ⋮ A hypertopology intended for functional differential equations ⋮ Completeness properties of the generalized compact-open topology on partial functions with closed domains ⋮ Abstract Volterra equations: a survey ⋮ Vietoris topology on partial maps with compact domains ⋮ Boundedly UC spaces and topologies on function spaces ⋮ Equivalence of different hereditary structures in ordinary differential equations ⋮ A new extension of classical Müller's theorem ⋮ Čech-completeness and related properties of the generalized compact-open topology ⋮ Jointly continuous utility functions on submetrizable \(k_\omega\)-spaces

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