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Limit circle classification and boundedness of solutions

Published online by Cambridge University Press:  14 November 2011

F. Neuman
F. Neuman
Affiliation:
Mathematical Institute, Czechoslovak Academy of Sciences (Brno Branch)
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Synopsis

Using an algebraic approach to the nth order linear differential equations (see [3] for n = 2 and [13 and 14] for n ≧ 2) it is shown the essence of the relation between the limit circle classification and boundedness of solutions of y″ = q(t)y. On this example it is demonstrated that if a problem can be formulated in the rank of the approach, then it is only a technical matter to answer it, e.g. the relationship studied here is based on a standard fact from the theory of functions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 81 , Issue 1-2 , 1978 , pp. 31 - 34
Copyright
Copyright © Royal Society of Edinburgh 1978

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References

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