NDLI: Operator equations in ordered spaces and first applications

Content Provider	Scilit
Author	Carl, S. Heikkila, Seppo
Copyright Year	2000
Description	Operator equations in ordered spaces and rst applications Our basic method in treating implicit problems is to represent them as an operator equation Lu = Nu; (1.1.1) where the dependence of the operator N on u is implicit, e.g., of the form Nu = Q(u; Lu). For this purpose we study in this chapter the solvability of (1.1.1) in the case when L and N are mappings from a partially ordered set (poset) to an ordered normed space. No linearity or continuity hypotheses are imposed on the operators L and N , since no algebraic or topological structures are assumed for their domain. This general setting gives us tools to treat also implicit problems involving discontinuous nonlinearities. Book Name: Nonlinear Differential Equations in Ordered Spaces
Related Links	https://content.taylorfrancis.com/books/download?dac=C2010-0-47957-5&isbn=9780429179617&doi=10.1201/9781482280951-5&format=pdf
Ending Page	26
Page Count	14
Starting Page	13
DOI	10.1201/9781482280951-5
Language	English
Publisher	Informa UK Limited
Publisher Date	2000-06-14
Access Restriction	Open
Subject Keyword	Book Name: Nonlinear Differential Equations in Ordered Spaces Applied Mathematics Structures Nonlinearities Solvability Spaces Equations Chapter Partially Imposed
Content Type	Text
Resource Type	Chapter

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