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Partial inverse problems for the Sturm‐Liouville equation with deviating argument
Author(s) -
Bondarenko Natalia P.,
Yurko Vjacheslav A.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5265
Subject(s) - mathematics , sturm–liouville theory , uniqueness , constructive , inverse , constant (computer programming) , inverse problem , interval (graph theory) , a priori and a posteriori , mathematical analysis , uniqueness theorem for poisson's equation , pure mathematics , combinatorics , boundary value problem , geometry , philosophy , process (computing) , epistemology , operating system , computer science , programming language
Several partial inverse problems for the Sturm‐Liouville equation with a constant delay are studied. We suppose that the potential is known a priori on an interior part of the interval and recover the potential on the remaining subintervals from fractional parts of two spectra. Uniqueness theorems are proved, and a constructive procedure is provided for the solution of the considered inverse problems.