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On the solvability of some fourth-order equations with functional boundary conditions

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  • In this paper it is considered a fourth order problem composed of a fully nonlinear differential equation and functional boundary conditions satisfying some monotone conditions.This functional dependence on $u,u^' $ and $u^{''}$and generalizes several types of boundary conditions such as Sturm-Liouville, multipoint, maximum and/or minimum arguments, or nonlocal. The main theorem is an existence and location result as it provides not only the existence, but also some qualitative information about the solution.
    Mathematics Subject Classification: Primary: 34B10, 34B15 ; Secondary: 34L30.


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