A converse of Sturm’s separation theorem

We show that Sturm’s classical separation theorem on the interlacing of the zeros of linearly independent solutions of real second order two-term ordinary differential equations necessarily fails in the presence of a turning point in the principal part of the equation. Related results are discussed....

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Bibliographic Details
Main Authors: Gholizadeh Leila
Mingarelli Angelo B.
Format: Serial
Published: 2021
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - közönséges
Subjects:
doi:10.14232/ejqtde.2021.1.78

Online Access:http://acta.bibl.u-szeged.hu/75799
Description
Summary:We show that Sturm’s classical separation theorem on the interlacing of the zeros of linearly independent solutions of real second order two-term ordinary differential equations necessarily fails in the presence of a turning point in the principal part of the equation. Related results are discussed.
Physical Description:p. 1-8.
ISSN:1417-3875