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Nonresonance conditions for fourth order nonlinear boundary value problems

Nonresonance conditions for fourth order nonlinear boundary value problems

This paper is devoted to the study of the problem urn:x-wiley:01611712:media:ijmm401560:ijmm401560-math-0001 urn:x-wiley:01611712:media:ijmm401560:ijmm401560-math-0002 We assume that f can be written under the form urn:x-wiley:01611712:media:ijmm401560:ijmm401560-math-0003 where r is a bounded function. We obtain existence conditions related to uniqueness conditions for the solution of the linear problem urn:x-wiley:01611712:media:ijmm401560:ijmm401560-math-0004 urn:x-wiley:01611712:media:ijmm401560:ijmm401560-math-0005