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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/122602026-10-18T20:41:15Zopenairedrivercom_ebyu_10000col_ebyu_10001

Trace Formulae for Second-Order Differential Pencils with a Frozen ArgumentHu, Yi-TengŞat, Muratdifferential pencilsfrozen argumentregularized trace formulaeThis paper deals with second-order differential pencils with a fixed frozen argument on a finite interval. We obtain the trace formulae under four boundary conditions: Dirichlet–Dirichlet, Neumann–Neumann, Dirichlet–Neumann, Neumann–Dirichlet. Although the boundary conditions and the corresponding asymptotic behaviour of the eigenvalues are different, the trace formulae have the same form which reveals the impact of the frozen argument. © 2023 by the authors.Multidisciplinary Digital Publishing Institute (MDPI)2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12260https://doi.org/10.3390/math111839962227-7390enMathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12260