On recovering non-local perturbation of non-self-adjoint sturm – liouville operator

HIGHLIGHTS

  • What: While the previous works were focused only on the case here the authors investigate the more difficult non-self-adjoint case which requires consideration of eigenvalues multiplicities. The authors develop an approach based on the relation between the characteristic function and the coefficients of the potential a certain basis. The authors develop an approach to the general situation of arbitrary 𝑝 ∈ 𝐿2 (0, 𝜋), relying on some ideas of_[22]. For definiteness, the authors provide computations in the case 𝛼=1 and 𝛽=0 (the other cases are proceeded analogously).
  • Who: Sturm - Liouville operators et al. from the . . .

     

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