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Inverse problem for a sturm-liouville elliptic equation in a Hilbert space

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For a second-order operator-differential equation of elliptic type, the problem is stated and solved of finding for the right-hand side of the equation n vector parameters for which a solution of a Dirichlet problem takes preassigned values at n interior points.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 11, pp. 1537–1540, November, 1991.

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Gorbachuk, M.L., Knyukh, B.I. Inverse problem for a sturm-liouville elliptic equation in a Hilbert space. Ukr Math J 43, 1428–1431 (1991). https://doi.org/10.1007/BF01067282

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  • Hilbert Space
  • Inverse Problem
  • Elliptic Equation
  • Dirichlet Problem
  • Interior Point