Ricardo Enguiça, Luis Sanchez
In this paper, we study the existence of solutions for the differential equation
where satisfies one-sided Lipschitz conditions with respect to and , with periodic conditions or boundary conditions from "simply supported" beam theory. We assume the existence of lower and upper solutions (well-ordered and in some cases reversely ordered) and we make use of a fourth-order linear differential operator factorization.
Submitted July 20, 2007. Published September 28, 2007.
Math Subject Classifications: 34B15, 34C25.
Key Words: Beam equation; fourth order boundary value problem; maximum principles; lower and upper solutions; reversed order.
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| Ricardo Enguiça |
Area Científica de Matemática
Instituto Superior de Engenharia de Lisboa
Rua Conselheiro Emídio Navarro, 1 - 1950-062 Lisboa, Portugal
| Luís Sanchez |
Faculdade de Ciências da Universidade de Lisboa
Avenida Professor Gama Pinto 2, 1649-003 Lisboa, Portugal
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