Positive solutions for a fourth order equation with nonlinear boundary conditions

Authors:
To Fu Ma;André Luís Machado Martinez
Affiliations:
Departamento de Matemática, ICMC, Universidade de São Paulo, 13560-970 São Carlos, SP, Brazil;Campus de Cornélio Procópio, Universidade Tecnológica Federal do Paraná, 86300-000, Cornélio Procópio, PR, Brazil
Venue:
Mathematics and Computers in Simulation
Year:
2010

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Abstract

Existence of positive solutions for a fourth order equation with nonlinear boundary conditions, which models deformations of beams on elastic supports, is considered using fixed points theorems in cones of ordered Banach spaces. Iterative and numerical solutions are also considered.