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On the determination of differential pencils with nonlocal conditions

  • Chuan-Fu Yang EMAIL logo and Vjacheslav Yurko
Published/Copyright: December 13, 2017

Abstract

Inverse problems for differential pencils with nonlocal conditions are considered. Uniqueness theorems of inverse problems from the Weyl-type function and spectra are proved, which are generalizations of the well-known Weyl function and Borg’s inverse problem for the classical Sturm–Liouville operators.

MSC 2010: 34A55; 34L05; 47E05

Award Identifier / Grant number: 1.1660.2017/PCh

Award Identifier / Grant number: 16-01-00015 17-51-53180

Award Identifier / Grant number: 11171152

Award Identifier / Grant number: 11611530682

Award Identifier / Grant number: 91538108

Award Identifier / Grant number: BK 20141392

Funding statement: The work of the second author was supported by the Ministry of Education and Science of RF (grant 1.1660.2017/PCh) and by RFBR (16-01-00015 and 17-51-53180). The first author was supported in part by the National Natural Science Foundation of China (11171152, 11611530682 and 91538108) and by the Natural Science Foundation of the Jiangsu Province of China (BK 20141392).

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Received: 2017-08-17
Accepted: 2017-09-09
Published Online: 2017-12-13
Published in Print: 2018-10-01

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