2026-10-19T00:02:16Zhttps://ebyu-rdlopen.rawdatalibrary.net/oai/request

oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/110582026-10-18T20:41:15Zopenairedrivercom_ebyu_10000col_ebyu_10001

Inverse spectral problem for differential pencils with a frozen argumentHu, Yi-TengSat, MuratDifferential pencilsinverse spectral problems,frozen argumentConditionDifferential pencilFine structuresInverse spectral problem,frozen argumentInverse spectral problemsInverse problemsThis paper deals with differential pencils possessing a term depending on the unknown function with a fixed argument. We deduce the so called main equation together with its fine structure for the spectral problem. Then, according to the boundary conditions and the position of argument, we describe two cases: degenerate and non-degenerate. For these two cases, the uniqueness of inverse spectral problem is studied and a constructive procedure for reconstructing the potentials along with necessary and sufficient conditions of the inverse problem solvability are obtained. © 2024 Walter de Gruyter GmbH, Berlin/Boston.Walter de Gruyter GmbH2024Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/11058https://doi.org/10.1515/jiip-2023-00850928-0219enJournal of Inverse and Ill-Posed Problemsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/11058