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 :
| Szerzők: | |
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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 |
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| 008 | 220523s2021 hu o 0|| eng d | ||
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| 024 | 7 | |a 10.14232/ejqtde.2021.1.78 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Gholizadeh Leila | |
| 245 | 1 | 2 | |a A converse of Sturm’s separation theorem |h [elektronikus dokumentum] / |c Gholizadeh Leila |
| 260 | |c 2021 | ||
| 300 | |a p. 1-8. | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet - közönséges | ||
| 700 | 0 | 1 | |a Mingarelli Angelo B. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/75799/1/ejqtde_2021_078.pdf |z Dokumentum-elérés |