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....
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - közönséges |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2021.1.78 |
| Online Access: | http://acta.bibl.u-szeged.hu/75799 |
| Tartalmi kivonat: | 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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| Terjedelem/Fizikai jellemzők: | p. 1-8. |
| ISSN: | 1417-3875 |