NDLI: On Boundedness of Solutions of Second Order Differential Equations in the Limit Circle Case

Content Provider	Scilit
Copyright Year	1975
Description	A differential equation of the form , is said to be in the limit circle case if all its solutions are square integrable on . It has been conjectured in [1] that all its solutions are bounded. J. Walter recently gave a counterexample. This paper gives a method of modifying any given equation in the limit circle case with bounded solutions to produce one with unbounded solutions.
Related Links	http://www.ams.org/proc/1975-052-01/S0002-9939-1975-0387710-5/S0002-9939-1975-0387710-5.pdf
Ending Page	246
Page Count	5
Starting Page	242
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2040138
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	52
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Order Differential Differential Equations Circle Case Limit Circle Boundedness of Solutions Second
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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On Boundedness of Solutions of Second Order Differential Equations in the Limit Circle Case