On the Existence of Conjugate Points for Sturm–Liouville Differential Equations

Erich Müller-Pfeiffer; Th. Schott

doi:10.4171/zaa/389

JournalszaaVol. 9, No. 2pp. 155–164

On the Existence of Conjugate Points for Sturm–Liouville Differential Equations

Erich Müller-Pfeiffer
Pädagogische Hochschule, Erfurt, Germany
Th. Schott
Pädagogische Hochschule, Erfurt, Germany

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Abstract

By means of integral conditions for the coefficients $p$ and $q$ of Sturm-Liouville differential equations $— (p (x) u ’) ’ + q (x) u = 0$ the distance between consecutive zeros of non-trivial solutions $u$ will be estimated from above.

Cite this article

Erich Müller-Pfeiffer, Th. Schott, On the Existence of Conjugate Points for Sturm–Liouville Differential Equations. Z. Anal. Anwend. 9 (1990), no. 2, pp. 155–164

DOI 10.4171/ZAA/389