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The left-definite Legendre type boundary problem

Authors:

Institution:

1. Department of Mathematics, University of Birmingham, Bl5 2TT, Birmingham, England
2. Department of Mathematics, Utah State University, 84322-3900, Logan, Utah, USA

Abstract:

The left-definite Legendre type boundary problem concerns the study of a fourth-order singular differential expressionM _k–] in a weighted Sobolev spaceH generated by a Dirichlet inner product. The fourth-order differential equation

$M_k y] = \lambda y$

Keywords:	AMS classification" target="_blank">AMS classification 33A65 34B20
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