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On inverse spectral problem and generalized Sturm nodal theorem for nonlinear boundary value problems

On inverse spectral problem and generalized Sturm nodal theorem for nonlinear boundary value problems

In the present paper, we are concerned with the Sturm-Liouville operator ℒ[] := - ′′ + () subject to the separated boundary conditions.We suppose that ∈ 2 (0, ) and study a so-called inverse optimization spectral problem: given a potential 0 and a value , where = 1, 2, . …