A global bifurcation theorem for a multiparameter positone problem and its application to the one-dimensional perturbed Gelfand problem
We study the global bifurcation and exact multiplicity of positive solutions for u 00(x) + λ fε(u) = 0, − 1 < x < 1, u(−1) = u(1) = 0, where λ > 0 is a bifurcation parameter, ε ∈ Θ is an evolution parameter, and Θ ≡ (σ1, σ2) is an open interval with 0 ≤ σ1 < σ2 ≤ ∞. Under some suitable h...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Gelfand probléma, Bifurkáció |
| doi: | 10.14232/ejqtde.2019.1.99 |
| Online Access: | http://acta.bibl.u-szeged.hu/66366 |
| LEADER | 01502nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta66366 | ||
| 005 | 20260224081030.0 | ||
| 008 | 200128s2019 hu o 000 eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2019.1.99 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Huang Shao-Yuan | |
| 245 | 1 | 2 | |a A global bifurcation theorem for a multiparameter positone problem and its application to the one-dimensional perturbed Gelfand problem |h [elektronikus dokumentum] / |c Huang Shao-Yuan |
| 260 | |c 2019 | ||
| 300 | |a 1-25 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We study the global bifurcation and exact multiplicity of positive solutions for u 00(x) + λ fε(u) = 0, − 1 < x < 1, u(−1) = u(1) = 0, where λ > 0 is a bifurcation parameter, ε ∈ Θ is an evolution parameter, and Θ ≡ (σ1, σ2) is an open interval with 0 ≤ σ1 < σ2 ≤ ∞. Under some suitable hypotheses on fε , we prove that there exists ε0 ∈ Θ such that, on the (λ, kuk∞)-plane, the bifurcation curve is S-shaped for σ1 < ε < ε0 and is monotone increasing for ε0 ≤ ε < σ2. We give an application to prove global bifurcation of bifurcation curves for the one-dimensional perturbed Gelfand problem. | |
| 695 | |a Gelfand probléma, Bifurkáció | ||
| 700 | 0 | 1 | |a Hung Kuo-Chih |e aut |
| 700 | 0 | 1 | |a Wang Shin-Hwa |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/66366/1/ejqtde_2019_099.pdf |z Dokumentum-elérés |