On non-linear boundary value problems and parametrisation at multiple nodes
We show how a suitable interval division and parametrisation technique can help to essentially improve the convergence conditions of the successive approximations for solutions of systems of non-linear ordinary differential equations under non-local boundary conditions. The application of the techni...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2016
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| Sorozat: | Electronic journal of qualitative theory of differential equations : special edition
2 No. 80 |
| Kulcsszavak: | Differenciálegyenlet - határérték probléma |
| doi: | 10.14232/ejqtde.2016.1.80 |
| Online Access: | http://acta.bibl.u-szeged.hu/73747 |
| Tartalmi kivonat: | We show how a suitable interval division and parametrisation technique can help to essentially improve the convergence conditions of the successive approximations for solutions of systems of non-linear ordinary differential equations under non-local boundary conditions. The application of the technique is shown on an example of a problem with non-linear integral boundary conditions involving values of the unknown function and its derivative. |
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| Terjedelem/Fizikai jellemzők: | 18 |
| ISSN: | 1417-3875 |