Boundary value problems with solutions in convex sets

DOI10.7494/OpMath.2019.39.1.49zbMath1412.34088WikidataQ129416575 ScholiaQ129416575MaRDI QIDQ4562502

Peer Christian Kunstmann, Gerd Herzog

Publication date: 21 December 2018

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

continuation methodordered Banach spacesDirichlet boundary value problemsconcave solutionssolutions in convex sets

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20)

Related Items (1)

Existence of solutions for impulsive hybrid boundary value problems to fractional differential systems

Cites Work

• A continuation and existence result for a boundary value problem on an unbounded domain arising for the electrical potential in a cylindrical double layer
• On convexity of solutions of ordinary differential equations
• Randwertprobleme für gewöhnliche Differentialgleichungen in konvexen Teilmengen eines Banachraumes
• Über die Existenz von Lösungen für Randwertprobleme in konvexen Mengen
• Continuation method for contractive maps
• Convex viscosity solutions and state constraints
• 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
• Matrix differential equations
• Boundary Value Problems for Second Order Differential Equations in Convex Subsets of a Banach Space
• Ordinary Differential Equations
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