Matrix representations of fourth order boundary value problems with finite spectrum

Ji-Jun Ao,Jiong Sun,Anton Zettl

doi:10.1016/j.laa.2011.10.001

Matrix representations of fourth order boundary value problems with finite spectrum

Ji-Jun Ao, Jiong Sun + Show 1 more

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https://doi.org/10.1016/j.laa.2011.10.001

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Journal: Linear Algebra and Its Applications	Publication Date: Nov 9, 2011
Citations: 12	License type: publisher-specific-oa

Affiliation: Inner Mongolia University of Technology, Inner Mongolia University, Northern Illinois University

#Fourth Order Boundary Value Problems #Class Of Matrix Problems + Show 8 more

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Abstract

We show that a class of regular self-adjoint fourth order boundary value problems is equivalent to a certain class of matrix problems. Equivalent here means that they have exactly the same eigenvalues. Such an equivalence was previously known only in the second order case.

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