Vol. 66, No. 1, 1976

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
A limit-point criterion for expressions with oscillatory coefficients

Thomas Thornton Read

Vol. 66 (1976), No. 1, 243–255
Abstract

A criterion is given for the equation (py)+ qy = 0 to have a solution on the interval [a,) which is not in L2(a,). The criterion permits q (or Re q if q is complex-valued) to be decomposable into a sum q = q1 + q2 where the expression (py)+ q1y essentially satisfies the well-known limit-point criterion of Levinson and q2 may be thought of as an oscillatory function whose amplitude may be large, but whose integral over [a,x] increases relatively slowly as a function of x.

Mathematical Subject Classification 2000
Primary: 34C10
Milestones
Received: 24 April 1975
Revised: 12 April 1976
Published: 1 September 1976
Authors
Thomas Thornton Read