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Monotone positive solutions for a fourth order equation with nonlinear boundary conditions |
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| Authors: | Edson Alves,Maurí cio Luciano Pelicer |
| Affiliation: | a Campus Regional de Umuarama, Universidade Estadual de Maringá, 87506-370 Umuarama, PR, Brazil b Departamento de Matemática, ICMC, Universidade de São Paulo, 13560-970 São Carlos, SP, Brazil c Departamento de Ciências, Universidade Estadual de Maringá, 87360-000 Goioerê, PR, Brazil |
| Abstract: | This work is concerned with the existence of monotone positive solutions for a class of beam equations with nonlinear boundary conditions. The results are obtained by using the monotone iteration method and they extend early works on beams with null boundary conditions. Numerical simulations are also presented. |
| Keywords: | 34B15 65L10 |
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