A note about positive solutions for an equation of Kirchhoff type
A nonlinear boundary value problem related to an equation of Kirchhoff is considered. The existence of positive solutions is proved through alternative Leray–Schauder’s type combined with Krasnoselskii’s fixed point theorem. Numerical methods are presented and a result of local convergence is establ...
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| Veröffentlicht in: | Applied mathematics and computation 2011-11, Vol.218 (5), p.2082-2090 |
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| container_end_page | 2090 |
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| container_issue | 5 |
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| container_title | Applied mathematics and computation |
| container_volume | 218 |
| creator | Martinez, André L.M. Castelani, Emerson V. Silva, Jair da Shirabayashi, Wesley V.I. |
| description | A nonlinear boundary value problem related to an equation of Kirchhoff is considered. The existence of positive solutions is proved through alternative Leray–Schauder’s type combined with Krasnoselskii’s fixed point theorem. Numerical methods are presented and a result of local convergence is established. |
| doi_str_mv | 10.1016/j.amc.2011.07.025 |
| format | Article |
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| ispartof | Applied mathematics and computation, 2011-11, Vol.218 (5), p.2082-2090 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Alternatives of Leray–Schauder Boundary value problems Computation Convergence Existence theorems Krasnoselskii’s fixed point theorem Mathematical analysis Mathematical models Nonlinearity Numerical analysis Numerical solutions |
| title | A note about positive solutions for an equation of Kirchhoff type |
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