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Existence of $$n$$ positive solutions to a singular beam equation rigidly fixed at left and simply supported at right. (English) Zbl 1199.34085
Summary: By applying the Krasnosel’skii fixed point theorem on a cone, the existence of $$n$$ positive solutions is established for a nonlinear fourth-order two-point boundary value problem with singular nonlinearity.

##### MSC:
 34B16 Singular nonlinear boundary value problems for ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 74K10 Rods (beams, columns, shafts, arches, rings, etc.)