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"... Abstract: It is well known that the two spectra {λn} and {µn} uniquely determine the potential function q 2 ( + 1) (r) in a Sturm-Liouville equation defined on the unit interval having the singularity type + 2 r r (where � is a integer) at the point zero. In this work, we give the solution of the in ..."

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Abstract: It is well known that the two spectra {λn} and {µn} uniquely determine the potential function q 2 ( + 1) (r) in a Sturm-Liouville equation defined on the unit interval having the singularity type + 2 r r (where � is a integer) at the point zero. In this work, we give the solution of the inverse problem on two partially noncoincide spectra for the Sturm-Liouville equation with the peculiarity in zero. In particularly in this case