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On the non-existence of L2 solutions of a class of non-linear differential equations†

Published online by Cambridge University Press:  20 January 2009

J. Burlak
J. Burlak
Affiliation:
The University, Glasgow, W.2
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In 1950, Wintner (11) showed that if the function f(x) is continuous on the half-line [0, ∞) and, in a certain sense, is “ small when x is large ” then the differential equation

does not have L2 solutions, where the function y(x) satisfying (1) is called an L2 solution if

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 14 , Issue 4 , December 1965 , pp. 257 - 268
Copyright
Copyright © Edinburgh Mathematical Society 1965

References

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