Third order differential equations with integral boundary conditions
In this paper, we study nonlinear third order differential equations with integral boundary conditions. We provide sufficient conditions on the nonlinearity and the functions appearing in the boundary conditions that guarantee the existence of at least one solution to our problem. Our technique is b...
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| Veröffentlicht in: | Nonlinear analysis 2009-12, Vol.71 (12), p.e1736-e1743 |
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| container_end_page | e1743 |
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| container_issue | 12 |
| container_start_page | e1736 |
| container_title | Nonlinear analysis |
| container_volume | 71 |
| creator | Boucherif, Abdelkader Bouguima, Sidi Mohamed Al-Malki, Nawal Benbouziane, Zehour |
| description | In this paper, we study nonlinear third order differential equations with integral boundary conditions. We provide sufficient conditions on the nonlinearity and the functions appearing in the boundary conditions that guarantee the existence of at least one solution to our problem. Our technique is based on a priori bounds and fixed point theorems. |
| doi_str_mv | 10.1016/j.na.2009.02.055 |
| format | Article |
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| subjects | A priori bound on solutions Boundary conditions Differential equations Fixed point theorems Integral boundary conditions Integrals Nonlinearity Theorems Third order differential equations |
| title | Third order differential equations with integral boundary conditions |
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