Abstract

in this paper, we study the existence of a solution for a fourth order boundary value problem Where f ∊ C([0,l]× IR2, IR), and f ∊ C([0,l]× IR3, IR). By placing certain restrictions on the nonlinear term f, we prove the existence of at least one solution to the boundary-value problem with the use of lower and upper solution method and Schauder fixed-point theorem. The construction of lower or upper solutions is also presented.

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