One-sided continuous dependence of maximal solutions

DOI10.1016/0022-0396(81)90066-8zbMath0427.34007OpenAlexW1985558109MaRDI QIDQ1136913

Eric Schechter

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90066-8

zbMATH Keywords

differential inequalitymaximal solutioncontinuous dependenceCaratheodory condition

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential inequalities involving functions of a single real variable (34A40)

Related Items (5)

Evolution Generated by Semilinear Dissipative Plus Compact Operators ⋮ Interpolation of nonlinear partial differential operators and generation of differentiable evolutions ⋮ Continuous Dependence of Nonmonotonic Discontinuous Differential Equations ⋮ Necessary and sufficient conditions for convergence of temporally irregular evolutions ⋮ Existence and limits of Carathéodory-Martin evolutions

Cites Work

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• Continuous dependence on parameters: on the best possible results
• Continuous Dependence of Solutions of a Differential Inclusion on the Right Hand Side with Applications to Stability of Optimal Control Problems
• Existence and limits of Carathéodory-Martin evolutions

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