MONOTONICITY OF EIGENVALUES UNDER SYMMETRIZATION.

Shoshana Abramovich

doi:10.1137/0128030

MONOTONICITY OF EIGENVALUES UNDER SYMMETRIZATION.

Shoshana Abramovich

Department of Mathematics

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

Abstract

The differential system y double prime plus lambda p(x)y equals 0, y( plus or minus 1) equals 0 is considered. Monotonicity of the first eigenvalue and the monotonicity of the sum of the reciprocals of eigenvalues are established under a symmetrization method applied to p(x).

Original language	English
Pages (from-to)	350-361
Number of pages	12
Journal	SIAM Journal on Applied Mathematics
Volume	28
Issue number	2
DOIs	https://doi.org/10.1137/0128030
State	Published - 1975

ASJC Scopus subject areas

Applied Mathematics

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title = "MONOTONICITY OF EIGENVALUES UNDER SYMMETRIZATION.",

abstract = "The differential system y double prime plus lambda p(x)y equals 0, y( plus or minus 1) equals 0 is considered. Monotonicity of the first eigenvalue and the monotonicity of the sum of the reciprocals of eigenvalues are established under a symmetrization method applied to p(x).",

author = "Shoshana Abramovich",

year = "1975",

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AB - The differential system y double prime plus lambda p(x)y equals 0, y( plus or minus 1) equals 0 is considered. Monotonicity of the first eigenvalue and the monotonicity of the sum of the reciprocals of eigenvalues are established under a symmetrization method applied to p(x).

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JO - SIAM Journal on Applied Mathematics

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MONOTONICITY OF EIGENVALUES UNDER SYMMETRIZATION.

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