Partial inverse problems for the Sturm‐Liouville equation with deviating argument | Zendy

Bondarenko Natalia P. | Zendy; Yurko Vjacheslav A. | Zendy

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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.

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