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Existence of conjugate points for second and fourth order differential equations

Published online by Cambridge University Press:  14 November 2011

E. Müller-Pfeiffer
E. Müller-Pfeiffer
Affiliation:
Erfurt, GDR
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Synopsis

The paper presents sufficient conditions on the coefficients of second and fourth order differential equations to ensure that there exists at least one pair of conjugate points on an interval (a, b), −∞≦ a <b ≦ ∞. Oscillation criteria related to the equation (p(x)y″)″ + q(x)y = 0, 0 < x < ∞, are proved with no sign restrictions on q(x).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 89 , Issue 3-4 , 1981 , pp. 281 - 291
Copyright
Copyright © Royal Society of Edinburgh 1981

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