Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions
In this note we study a semilinear elliptic boundary value problem of one parameter dependence which arises in population genetics, having nonlinear boundary conditions. For some cases of sign indefinite weights, we investigate the existence and asymptotic behavior of the minimal positive solution....
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| Datum: | 2000 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2000
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| Schriftenreihe: | Нелинейные граничные задачи |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/169257 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions / K. Umezu // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 193-198. — Бібліогр.: 19 назв. — англ. |
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irk-123456789-1692572020-06-11T01:26:24Z Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions Umezu, K. In this note we study a semilinear elliptic boundary value problem of one parameter dependence which arises in population genetics, having nonlinear boundary conditions. For some cases of sign indefinite weights, we investigate the existence and asymptotic behavior of the minimal positive solution. The analysis uses the local bifurcation theory from simple eigenvalues, super-sub-solution method and variational technique. 2000 Article Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions / K. Umezu // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 193-198. — Бібліогр.: 19 назв. — англ. 0236-0497 http://dspace.nbuv.gov.ua/handle/123456789/169257 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this note we study a semilinear elliptic boundary value problem of one parameter dependence which arises in population genetics, having nonlinear boundary conditions. For some cases of sign indefinite weights, we investigate the existence and asymptotic behavior of the minimal positive solution. The analysis uses the local bifurcation theory from simple eigenvalues, super-sub-solution method and variational technique. |
| format |
Article |
| author |
Umezu, K. |
| spellingShingle |
Umezu, K. Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions Нелинейные граничные задачи |
| author_facet |
Umezu, K. |
| author_sort |
Umezu, K. |
| title |
Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions |
| title_short |
Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions |
| title_full |
Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions |
| title_fullStr |
Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions |
| title_full_unstemmed |
Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions |
| title_sort |
bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2000 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169257 |
| citation_txt |
Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions / K. Umezu // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 193-198. — Бібліогр.: 19 назв. — англ. |
| series |
Нелинейные граничные задачи |
| work_keys_str_mv |
AT umezuk bifurcationandstabilityfordiffusivelogisticequationswithnonlinearboundaryconditions |
| first_indexed |
2025-07-15T04:01:13Z |
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2025-07-15T04:01:13Z |
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1837684043088396288 |