The limit-4 case of fourth-order self-adjoint differential equations-Reference-Cited by-同舟云学术

The limit-4 case of fourth-order self-adjoint differential equations

Published:1977 Issue:1-2 Volume:79 Page:51-59
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Eastham M. S. P.

Abstract

SynopsisA new method is developed for identifying real-valued coefficientsr(x),p(x), andq(x)for which all solutions of the fourth-order differential equation

areL2(0, ∞). The results are compared with those derived from the asymptotic theory of Devinatz, Walker, Kogan and Rofe-Beketov.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Square-integrable solutions of the differential equation y(4)+a(qy')' + (bq2 + q”)y =0;Eastham;Nieuw Arch. Wisk.,1976

2. Asymptotics for a class of fourth order differential equations

3. On the Limit-Point Classification of Fourth-Order Differential Equations

4. 11.—Limit-n Criteria of Integral Type

5. THE DEFICIENCY INDEX OF CERTAIN FOURTH-ORDER ORDINARY SELF-ADJOINT DIFFERENTIAL OPERATORS

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