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Estimates of Liouville-Green type for solutions of systems of differential equations

Published online by Cambridge University Press:  14 November 2011

S. B. Hadid
S. B. Hadid
Affiliation:
Department of Mathematics, Chelsea College, University of London and Department of Mathematics, Educational College, University of Mosul, Iraq
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Synopsis

Let P(x) and Q(x) be n × n matrices whose entries involve a single given function q(x). Under suitable conditions, estimates

of Liouville-Green type are obtained for the components yν(x) of solutions of the system

In the case n = 2, the estimate is applied to systems arising from fourth-order equations and a generalization of a result of Eastham [2] is obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 1-2 , 1979 , pp. 1 - 9
Copyright
Copyright © Royal Society of Edinburgh 1979

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References

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