Some strong limit-2 and Dirichiet criteria for fourth order differential expressions

Author:

Race David

Abstract

AbstractConditions are given on the real coefficients p, q and r and the weight w, for the fourth order formally symmetric differential expressionto have the properties of being strong limit-2 and Dirichlet at ∞, when considered in the weighted Hilbert space, . These extend existing results due to both W. N. Everitt and V. Krishna Kumar and cover an expression which is important in the study of certain orthogonal polynomials.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. On the Strong Limit-Point Classification of Fourth-Order Differential Expressions with Complex Coefficients

2. [2] Everitt W. N. , Krall A. M. and Littlejohn L. L. . Some properties of the Laguerre(2) differential equation and associated orthogonal polynomials. (In preparation.)

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5. Limit-Point Criteria for Symmetric, J -Symmetric, and Arbitrary Quasi-Differential Expressions

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