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Fully nonlinear fourth-order equations with functional boundary conditions |
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| Authors: | A Cabada |
| Institution: | a Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Galicia, Spain b Departamento de Matemática, Universidade de Évora, Centro de Investigação em Matemática e Aplicações da U.E. (CIMA-UE), Rua Romão Ramalho 59, 700-671 Évora, Portugal |
| Abstract: | The aim of this paper consists in to give sufficient conditions to ensure the existence and location of the solutions of a nonlinear fully fourth-order equation with functional boundary conditions. The arguments make use of the upper and lower solutions method, a ?-Laplacian operator and a fixed point theorem. An application of the beam theory to a nonlinear continuous model of the human spine allows to estimate its deformation under some loading forces. |
| Keywords: | Fourth-order functional problems Nagumo-type condition Lower and upper solutions Fixed-point theory Beam equation Human spine continuous model |
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