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SIAM Journal on Mathematical Analysis
Article . 1975 . Peer-reviewed
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Duality Theory fornth Order Differential Operators under Stieltjes Boundary Conditions

Duality theory for \(n\)th order differential operators under Stieltjes boundary conditions
Authors: R. C. Brown;

Duality Theory fornth Order Differential Operators under Stieltjes Boundary Conditions

Abstract

The adjoint of an nth order vector-valued linear differential system with boundary conditions represented by singular matrix-valued measures is constructed when the system is viewed as an operator with domain and range in a space of $L^p $ integrable functions. Both the operator and its adjoint are shown to be normally solvable. The theory is then applied to the multipoint boundary value problem of Wilder, and some examples are discussed.

Keywords

Spline approximation, Linear ordinary differential equations and systems, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), General theory of ordinary differential operators, Nonlocal and multipoint boundary value problems for ordinary differential equations

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
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