Three point boundary value problems for ordinary differential equations, uniqueness implies existence
We consider a family of three point n − 2, 1, 1 conjugate boundary value problems for nth order nonlinear ordinary differential equations and obtain conditions in terms of uniqueness of solutions imply existence of solutions. A standard hypothesis that has proved effective in uniqueness implies exis...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - határérték probléma, Differenciálegyenlet - közönséges |
| doi: | 10.14232/ejqtde.2020.1.74 |
| Online Access: | http://acta.bibl.u-szeged.hu/73635 |
| LEADER | 01650nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta73635 | ||
| 005 | 20211105135136.0 | ||
| 008 | 211105s2020 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2020.1.74 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Eloe Paul W. | |
| 245 | 1 | 0 | |a Three point boundary value problems for ordinary differential equations, uniqueness implies existence |h [elektronikus dokumentum] / |c Eloe Paul W. |
| 260 | |c 2020 | ||
| 300 | |a 15 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We consider a family of three point n − 2, 1, 1 conjugate boundary value problems for nth order nonlinear ordinary differential equations and obtain conditions in terms of uniqueness of solutions imply existence of solutions. A standard hypothesis that has proved effective in uniqueness implies existence type results is to assume uniqueness of solutions of a large family of n−point boundary value problems. Here, we replace that standard hypothesis with one in which we assume uniqueness of solutions of large families of two and three point boundary value problems. We then close the paper with verifiable conditions on the nonlinear term that in fact imply global uniqueness of solutions of the large family of three point boundary value problems. | |
| 695 | |a Differenciálegyenlet - határérték probléma, Differenciálegyenlet - közönséges | ||
| 700 | 0 | 1 | |a Henderson Johnny |e aut |
| 700 | 0 | 1 | |a Neugebauer Jeffrey T. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73635/1/ejqtde_2020_074.pdf |z Dokumentum-elérés |