Operator and differential equations in ordered spaces

DOI10.1006/jmaa.1999.6299zbMath0936.47042OpenAlexW2052687252MaRDI QIDQ1295882

Siegfried Carl, Seppo Heikkilä

Publication date: 8 May 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6299

zbMATH Keywords

existence of extremal solutionsinitial and boundary value problemspartially ordered spacegeneralized iteration methodimplicit Carathéodory type ordinary and partial differential equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Close-to-elliptic equations (35H99)

Related Items (9)

Inclusion problems in ordered topological vector spaces and applications ⋮ On a class of inclusions in ordered spaces ⋮ Extremal solutions for a class of unilateral problems. ⋮ Existence results for operator equations in partially ordered sets and applications ⋮ Extremality Results for Discontinuous Sturm-Liouville Boundary Value Problems ⋮ Existence results for operator equations in abstract spaces and an application ⋮ New iterative methods to solve equations and systems in ordered spaces ⋮ Extremality results for first-order discontinuous functional differential equations ⋮ Existence and comparison results for operator and differential equations in abstract spaces

Cites Work

• On discontinuous first-order implicit boundary value problems
• On discontinuous implicit evolution equations
• Discontinuous implicit elliptic boundary value problems.
• An abstract monotone iterative technique
• Extremal solutions of a discontinuous scalar differential equation
• On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
• On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions
• Über Fixpunktsätze in geordneten Mengen
• First order discontinuous implicit differential equations with discontinuous boundary conditions
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