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The inverse problem of spectral analysis for the diffusion operator with quasiperiodic boundary conditions is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solvability of the inverse problem are obtained.
Ibrahim M. Nabiev. "Determination of the diffusion operator on an interval." Colloquium Mathematicae 134.2 (2014): 165-178. <http://eudml.org/doc/284255>.
@article{IbrahimM2014, abstract = {The inverse problem of spectral analysis for the diffusion operator with quasiperiodic boundary conditions is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solvability of the inverse problem are obtained.}, author = {Ibrahim M. Nabiev}, journal = {Colloquium Mathematicae}, keywords = {differential operators; inverse spectral problems}, language = {eng}, number = {2}, pages = {165-178}, title = {Determination of the diffusion operator on an interval}, url = {http://eudml.org/doc/284255}, volume = {134}, year = {2014}, }
TY - JOUR AU - Ibrahim M. Nabiev TI - Determination of the diffusion operator on an interval JO - Colloquium Mathematicae PY - 2014 VL - 134 IS - 2 SP - 165 EP - 178 AB - The inverse problem of spectral analysis for the diffusion operator with quasiperiodic boundary conditions is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solvability of the inverse problem are obtained. LA - eng KW - differential operators; inverse spectral problems UR - http://eudml.org/doc/284255 ER -