On explicit and implicit operator and differential inclusions in ordered spaces

DOI10.1016/j.na.2003.12.006zbMath1075.47034OpenAlexW2030208148MaRDI QIDQ1763686

Seppo Heikkilä

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.12.006

zbMATH Keywords

weak topologymultifunctiondifferential inclusionordered Banach spaceinclusion problemordered topological vector spaceinf-centersup-centerorder center

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Equations involving nonlinear operators (general) (47J05) Set-valued operators (47H04) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

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• Fixed points of increasing multivalued operators and an application to discontinuous elliptic equations
• Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations
• Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP's

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