Positive solutions to a semipositone superlinear elastic beam equation

Positive solutions to a semipositone superlinear elastic beam equation

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A semipositone fourth-order two-point boundary value problem is considered.In mechanics, the problem describes the deflection telemarkskongen flue of an elastic beam rigidly fastened on the left and simply supported on the right.Under some conditions concerning the first eigenvalue corresponding to the relevant linear operator, the existence of nontrivial solutions and positive solutions to this boundary value problem is poise pads in bulk obtained.The main results are obtained by using the topological method and the fixed point theory of superlinear operators.