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Some Remarks on a Limit‐Point Condition
Author(s) -
Knowles Ian
Publication year - 1974
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/6.3.325
Subject(s) - citation , point (geometry) , mathematics , limit (mathematics) , library science , mathematics education , computer science , mathematical analysis , geometry
where q(t) is locally Lebesgue-integrable on [a, oo), may be classified according to the behaviour of the solutions of the differential equation xy(t) = 0 for large values of t. In particular, following Weyl [17], we say that the formal operator x is of limit-circle type at oo if every solution of xy(t) = 0 is of class «Sf[a, oo); conversely, if one or more independent solutions of xy(t) = 0 are not of class S£\a, oo), then T is said to be of limit-point type at oo. In the recent paper [4] of Eastham, the following sufficient condition for limitpoint type was given:

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