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Limit circle criteria for fourth order differential operators with an oscillatory coefficient

Published online by Cambridge University Press:  20 January 2009

Ronald I. Becker
Ronald I. Becker
Affiliation:
Department of MathematicsUniversity of Cape Town7700 Rondebosch, Cape, Republic of South Africa
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A formally self-adjoint operator L is said to be of limit circle type at infinity if its highest order coefficients are zero-free and all solutions x of L(x) = 0 are square-integrable on [c, ∞) for some c. (We will drop “at infinity” in what follows.)

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 24 , Issue 2 , June 1981 , pp. 105 - 117
Copyright
Copyright © Edinburgh Mathematical Society 1981

References

REFERENCES

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