Existence of solutions for operator inclusions: A unified approach

zbMath0936.47037MaRDI QIDQ1962593

Diego Averna, Salvatore A. Marano

Publication date: 18 May 2000

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1999__102__285_0

zbMATH Keywords

Cauchy problemexistence of solutionsBressan and Colombo's directionally continuous selection theoremKy Fan's fixed point principlemixed semicontinuity hypothesesoperator inclusions with multivalued terms

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Ordinary differential inclusions (34A60) General theory of topological algebras (46H05)

Related Items (4)

A selection theorem for a new class of multivalued mappings ⋮ Krasnoselskii type fixed point theorems for multi-valued mappings with weakly sequentially closed graph ⋮ Unnamed Item ⋮ Existence theorems for inclusions of the type

Cites Work

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• Measurable relations
• An existence theorem for inclusions of the type and application to a multivalued boundary value problem
• Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side
• Selections and representations of multifunctions in paracompact spaces
• Existence theorems for inclusions of the type

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