A note on polychotomy

F.R. Hoog, de; R.M.M. Mattheij

doi:10.1007/BF02250581

A note on polychotomy

F.R. Hoog, de
, R.M.M. Mattheij

Scientific Computing

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Previous analyses on bounds for the growth of solutions of BVP were dealing either with two point or multipoint conditions. For BVP where some of the two point boundary conditions are separated from the rest one could only give a cruder polychotomy result for a multipoint case as such. In this note we show that such a (decoupled) two point condition actually induces a dichotomic subspace. This is done by reconsidering the notions of dichotomy and polychotomy and deriving appropriate projection mappings which describe the solution space structure.

Original language	English
Pages (from-to)	1-15
Journal	Computing
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/BF02250581
Publication status	Published - 1990

Bibliographical note

Dedicated to Professor Hans J. Stetter on the occasion of his 60th birthday

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10.1007/BF02250581

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title = "A note on polychotomy",

abstract = "Previous analyses on bounds for the growth of solutions of BVP were dealing either with two point or multipoint conditions. For BVP where some of the two point boundary conditions are separated from the rest one could only give a cruder polychotomy result for a multipoint case as such. In this note we show that such a (decoupled) two point condition actually induces a dichotomic subspace. This is done by reconsidering the notions of dichotomy and polychotomy and deriving appropriate projection mappings which describe the solution space structure.",

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N2 - Previous analyses on bounds for the growth of solutions of BVP were dealing either with two point or multipoint conditions. For BVP where some of the two point boundary conditions are separated from the rest one could only give a cruder polychotomy result for a multipoint case as such. In this note we show that such a (decoupled) two point condition actually induces a dichotomic subspace. This is done by reconsidering the notions of dichotomy and polychotomy and deriving appropriate projection mappings which describe the solution space structure.

AB - Previous analyses on bounds for the growth of solutions of BVP were dealing either with two point or multipoint conditions. For BVP where some of the two point boundary conditions are separated from the rest one could only give a cruder polychotomy result for a multipoint case as such. In this note we show that such a (decoupled) two point condition actually induces a dichotomic subspace. This is done by reconsidering the notions of dichotomy and polychotomy and deriving appropriate projection mappings which describe the solution space structure.

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M3 - Article

SN - 0010-485X

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JO - Computing

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A note on polychotomy

Abstract

Bibliographical note

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