淡江大學機構典藏:Item 987654321/122642
English  |  正體中文  |  简体中文  |  Items with full text/Total items : 62797/95867 (66%)
Visitors : 3737382      Online Users : 405
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122642


    Title: An inverse spectral problem for second-order functional-differential pencils with two delays
    Authors: Buterin, S.A.;Malyugina, M.A.;Shieh, C.-T.
    Keywords: Functional-differential equation;Pencil;Deviating argument;Constant delay;Inverse spectral problem
    Date: 2021-12-15
    Issue Date: 2022-04-13 12:11:14 (UTC+8)
    Publisher: Elsevier
    Abstract: Recently, there appeared a considerable interest in inverse Sturm–Liouville-type problems
    with constant delay. However, necessary and sufficient conditions for solvability of such
    problems were obtained only in one very particular situation. Here we address this gap
    by obtaining necessary and sufficient conditions in the case of functional-differential pencils possessing a more general form along with a nonlinear dependence on the spectral
    parameter. For this purpose, we develop the so-called transformation operator approach,
    which allows reducing the inverse problem to a nonlinear vectorial integral equation. In
    Appendix A, we obtain as a corollary the analogous result for Sturm–Liouville operators
    with delay. Remarkably, the present paper is the first work dealing with an inverse problem for functional-differential pencils in any form. Besides generality of the pencils under
    consideration, an important advantage of studying the inverse problem for them is the
    possibility of recovering both delayed terms, which is impossible for the Sturm–Liouville
    operators with two delays. The latter, in turn, is illustrated even for different values of
    these two delays by a counterexample in Appendix B. We also provide a brief survey on
    the contemporary state of the inverse spectral theory for operators with delay observing
    recently answered long-term open questions.
    Relation: Applied Mathematics and Computation 411, 126475
    DOI: 10.1016/j.amc.2021.126475
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML57View/Open

    All items in 機構典藏 are protected by copyright, with all rights reserved.


    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - Feedback