A note on convex dependence of solutions of IVPs relative to initial values

DOI10.1016/j.na.2007.04.023zbMath1149.34337OpenAlexW2056269134MaRDI QIDQ927951

Roland Lemmert, Gerd Herzog

Publication date: 10 June 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.04.023

zbMATH Keywords

initial value problemsquasimonotone increasing functionsconvex dependence on initial values

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Related Items (1)

On convexity of solutions of ordinary differential equations

Cites Work

• Unnamed Item
• Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. (Ordinary differential equations with quasi-monotone increasing functions in topological vector spaces)
• Über die Invarianz konvexer Mengen und Differentialungleichungen in einem normierten Raume
• Sample solutions of stochastic ordinary differential equations^∗
• Convex dependence of solutions of differential equations in a banach space relative to initial data
• On equation with convex quasi-monotone right-hand side

This page was built for publication: A note on convex dependence of solutions of IVPs relative to initial values