On the solution set of an equation of the type \(f(t,\Phi(u)(t))=0\)

DOI10.1007/BF00436113zbMath0873.47041MaRDI QIDQ5961474

Ornella Naselli

Publication date: 20 February 1997

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

solution setCarathéodory maplinear homeomorphismtopological description

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Equations involving nonlinear operators (general) (47J05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Cites Work

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• A representation theorem for Aumann integrals
• Connectedness of sublevels of integral functionals
• On the integrable selections of certain multifunctions
• Extensions and selections of maps with decomposable values
• Measurable relations

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