BOUNDARY VALUE PROBLEMS VIA AN INTERMEDIATE VALUE THEOREM

DOI10.1017/S0017089508004394zbMath1165.34006MaRDI QIDQ3529467

Gerd Herzog, Roland Lemmert

Publication date: 13 October 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

existenceDirichlet boundary value problemsmallest and greatest solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear differential equations in abstract spaces (34G20) Monotone systems involving ordinary differential equations (34C12)

Cites Work

• Quasi-solutions and monotone method for systems of nonlinear boundary value problems
• The Dirichlet problem for quasimonotone systems of second order equations
• Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. (Ordinary differential equations with quasi-monotone increasing functions in topological vector spaces)
• Exponential Nonnegativity on the Ice Cream Cone
• Fixed Points for Discontinuous Quasi-Monotone Maps in R n
• Fixed Points for Discontinuous Quasimonotone Maps in Sequence Spaces
• Smallest and greatest fixed points of quasimonotone increasing mappings
• Intermediate value theorems for quasimonotone increasing mappings