Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-26T17:42:04.165Z Has data issue: false hasContentIssue false

Some Comparison Theorems for Conjugate And σ-Points

Published online by Cambridge University Press:  20 November 2018

Walter Leighton*
Affiliation:
University of Missouri, Columbia, Missouri
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Section 1 of this paper is concerned with the effect on conjugate and σ-points of various perturbations of q(x) for differential equations of the form

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Leighton, Walter, Some elementary Sturm theory, Journal of Differential Equations 4 (1968), 187193.Google Scholar
2. Leighton, Walter, Upper and lower bounds for eigenvalues, Journal of Mathematical Analysis and Applications 35 (1971), 381388.Google Scholar
3. Leighton, Walter, Computing bounds for focal points and for c-points for second-order linear differential equations, Ordinary Differential Equations (Academic Press, New York, 1972).Google Scholar
4. Leighton, Walter, More elementary Sturm theory, Applicable Analysis 3 (1973), 187203.Google Scholar
5. Leighton, Walter, The conjugacy function, Proceedings of the American Mathematical Society 21+ (1970), 820823.Google Scholar
6. Leighton, Walter, On approximating conjugate, focal, and a-points for linear differential equations of second order, Annali di Matematica Pura ed Applicata 107 (1975), 373381.Google Scholar
7. Helsabeck, Henry C., The minimal conjugate point of a family of differential equations, to appear, SIAM J. Math. Analysis.Google Scholar