Existence of conjugate points for second and fourth order differential equations-Reference-Cited by-同舟云学术

Existence of conjugate points for second and fourth order differential equations

Published:1981 Issue:3-4 Volume:89 Page:281-291
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Müller-Pfeiffer E.

Abstract

SynopsisThe 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).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference18 articles.

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4. 12 Müller-Pfeifler E. . Verallgemeinerungen eines Satzes von Leighton über die Oszillation selbstadjungierter Differentialgleichungen. Ann. Polon. Math., in press.

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