Classification and evolution of bifurcation curves for a one-dimensional Neumann-Robin problem and its applications
We study the classification and evolution of bifurcation curves of positive solutions for the one-dimensional Neumann–Robin boundary value problem u 00(x) + λ f(u(x)) = 0, 0 < x < 1, u 0 (0) = 0 and u 0 (1) + αu(1) = 0, where λ > 0 is a bifurcation parameter, α > 0 is an evolution parame...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Neumann-Robin probléma, Bifurkáció |
| doi: | 10.14232/ejqtde.2018.1.85 |
| Online Access: | http://acta.bibl.u-szeged.hu/56897 |
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| 008 | 190125s2018 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2018.1.85 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Tsai Chi-Chao | |
| 245 | 1 | 0 | |a Classification and evolution of bifurcation curves for a one-dimensional Neumann-Robin problem and its applications |h [elektronikus dokumentum] / |c Tsai Chi-Chao |
| 260 | |c 2018 | ||
| 300 | |a 1-30 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We study the classification and evolution of bifurcation curves of positive solutions for the one-dimensional Neumann–Robin boundary value problem u 00(x) + λ f(u(x)) = 0, 0 < x < 1, u 0 (0) = 0 and u 0 (1) + αu(1) = 0, where λ > 0 is a bifurcation parameter, α > 0 is an evolution parameter, and nonlinearity f satisfies f(0) ≥ 0 and f(u) > 0 for u > 0. We obtain the multiplicity of positive solutions for α > 0 and λ > 0. Applications are given. | |
| 695 | |a Neumann-Robin probléma, Bifurkáció | ||
| 700 | 0 | 1 | |a Wang Shin-Hwa |e aut |
| 700 | 0 | 1 | |a Huang Shao-Yuan |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/56897/1/ejqtde_2018_085.pdf |z Dokumentum-elérés |