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Existence of conjugate points for self-adjoint linear differential equations

Published online by Cambridge University Press:  14 November 2011

Ondřej Došlý
Ondřej Došlý
Affiliation:
Department of Mathematics, J. E. Purkyně University, Janáčkovo náměstí 2a, 662 95 Brno, Czechoslovakia
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Synopsis

The conjecture of Muller-Pfeiffer [4] concerning the oscillation behaviour of the differential equation (–l)n(p(x)y(n))(n) + q(x)y = 0 is proved, and a similar conjecture concerning the more general differential equation ∑nk=0(−l)k(Pk(x)y(k)(k + q(x)y= 0 is formulated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 113 , Issue 1-2 , 1989 , pp. 73 - 85
Copyright
Copyright © Royal Society of Edinburgh 1989

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References

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