{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T12:31:02Z","timestamp":1771677062889,"version":"3.50.1"},"reference-count":41,"publisher":"Informa UK Limited","issue":"7","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Control"],"published-print":{"date-parts":[[2024,7,2]]},"DOI":"10.1080\/00207179.2023.2221343","type":"journal-article","created":{"date-parts":[[2023,6,8]],"date-time":"2023-06-08T04:25:47Z","timestamp":1686198347000},"page":"1612-1626","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":1,"title":["Optimal energy decay for a viscoelastic Kirchhoff equation with distributed delay acting on nonlinear frictional damping"],"prefix":"10.1080","volume":"97","author":[{"given":"Aili","family":"Mohammed","sequence":"first","affiliation":[{"name":"SD Laboratory, Faculty of Mathematics, University of Science and Technology Houari Boumedienne, Bab Ezzouar, Algiers, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8001-4290","authenticated-orcid":false,"given":"Ammar","family":"Khemmoudj","sequence":"additional","affiliation":[{"name":"SD Laboratory, Faculty of Mathematics, University of Science and Technology Houari Boumedienne, Bab Ezzouar, Algiers, Algeria"}]}],"member":"301","published-online":{"date-parts":[[2023,6,15]]},"reference":[{"key":"e_1_3_3_2_1","volume-title":"Pure and Applied Mathematics","author":"Adams R. A.","year":"1978","unstructured":"Adams, R. A. (1978). Sobolev spaces. Pure and Applied Mathematics. Academic press."},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s12215-019-00443-y"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00245"},{"key":"e_1_3_3_5_1","doi-asserted-by":"crossref","unstructured":"Alabau-Boussouira F. Nicaise S. & Pignotti C. (2014). Exponential stability of the wave equation with memory and time delay In New prospects in direct inverse and control problems for evolution equations (pp. 1\u201322) Springer.","DOI":"10.1007\/978-3-319-11406-4_1"},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10883-018-9422-y"},{"key":"e_1_3_3_7_1","doi-asserted-by":"publisher","DOI":"10.3390\/mca27010010"},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.3934\/cpaa.2019009"},{"key":"e_1_3_3_9_1","doi-asserted-by":"crossref","unstructured":"Arnold V. I. (1989). Mathematical methods of classical mechanics. Springer.","DOI":"10.1007\/978-1-4757-2063-1"},{"key":"e_1_3_3_10_1","doi-asserted-by":"publisher","DOI":"10.1504\/IJDSDE.2014.067080"},{"key":"e_1_3_3_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/(ISSN)1099-1476"},{"key":"e_1_3_3_12_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012902408010"},{"key":"e_1_3_3_13_1","unstructured":"Christensen R. (2012). Theory of viscoelasticity: An introduction. Elsevier."},{"key":"e_1_3_3_14_1","doi-asserted-by":"crossref","unstructured":"Christensen R. M. (1982). Theory of viscoelasticity: An introduction. Academic Press.","DOI":"10.1016\/B978-0-12-174252-2.50012-0"},{"key":"e_1_3_3_15_1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.33.239"},{"key":"e_1_3_3_16_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00033-013-0365-6"},{"key":"e_1_3_3_17_1","doi-asserted-by":"crossref","unstructured":"Fabrizio M. & Morro A. (1992). Mathematical problems in linear viscoelasticity. Siam Stud Appl Math Philadelphia.","DOI":"10.1137\/1.9781611970807"},{"key":"e_1_3_3_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2012.05.055"},{"key":"e_1_3_3_19_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00033-020-01426-1"},{"key":"e_1_3_3_20_1","unstructured":"Guesmia A. (2006). In\u00e9galit\u00e9s int\u00e9grales et applications \u00e0 la stabilisation des syst\u00e8mes distribu\u00e9s non dissipatifs Th\u00e8se de doctorat Universit\u00e9 de Metz (in French)."},{"key":"e_1_3_3_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-009-9493-6"},{"key":"e_1_3_3_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11565-021-00366-6"},{"key":"e_1_3_3_23_1","unstructured":"Komornik V. (1994). Exact controllability and stabilization the multiplier method. Masson Wiley."},{"key":"e_1_3_3_24_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2005.07.024"},{"key":"e_1_3_3_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11587-021-00598-w"},{"key":"e_1_3_3_26_1","unstructured":"Lions J. L. (1969). Quelques methodes de resolution des problemes aux limites non lineaires. Dunod (in French)."},{"key":"e_1_3_3_27_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00033-015-0593-z"},{"key":"e_1_3_3_28_1","doi-asserted-by":"crossref","unstructured":"Meirovitch L. (2001). Fundamentals of vibrations. McGraw-Hill.","DOI":"10.1115\/1.1421112"},{"key":"e_1_3_3_29_1","doi-asserted-by":"publisher","DOI":"10.1002\/(ISSN)1522-2616"},{"key":"e_1_3_3_30_1","doi-asserted-by":"publisher","DOI":"10.1007\/s40840-018-00708-2"},{"key":"e_1_3_3_31_1","doi-asserted-by":"publisher","DOI":"10.1090\/qam\/2001-59-03"},{"key":"e_1_3_3_32_1","doi-asserted-by":"publisher","DOI":"10.1002\/mma.v41.1"},{"key":"e_1_3_3_33_1","doi-asserted-by":"publisher","DOI":"10.1080\/00036811.2022.2107906"},{"key":"e_1_3_3_34_1","doi-asserted-by":"publisher","DOI":"10.1137\/060648891"},{"key":"e_1_3_3_35_1","doi-asserted-by":"publisher","DOI":"10.57262\/die\/1356038593"},{"key":"e_1_3_3_36_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2011.09.016"},{"key":"e_1_3_3_37_1","doi-asserted-by":"publisher","DOI":"10.22034\/cmde.2020.35546.1608"},{"key":"e_1_3_3_38_1","unstructured":"Rudin W. (1987). Real and complex analysis (3rd ed.). McGraw-Hill."},{"key":"e_1_3_3_39_1","doi-asserted-by":"publisher","DOI":"10.1007\/s40324-023-00325-5"},{"key":"e_1_3_3_40_1","doi-asserted-by":"publisher","DOI":"10.1007\/s12215-018-0373-7"},{"key":"e_1_3_3_41_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.05.026"},{"key":"e_1_3_3_42_1","doi-asserted-by":"publisher","DOI":"10.11650\/tjm.17.2013.2517"}],"container-title":["International Journal of Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207179.2023.2221343","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,8]],"date-time":"2024-06-08T09:15:45Z","timestamp":1717838145000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00207179.2023.2221343"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,15]]},"references-count":41,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2024,7,2]]}},"alternative-id":["10.1080\/00207179.2023.2221343"],"URL":"https:\/\/doi.org\/10.1080\/00207179.2023.2221343","relation":{},"ISSN":["0020-7179","1366-5820"],"issn-type":[{"value":"0020-7179","type":"print"},{"value":"1366-5820","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6,15]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tcon20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tcon20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2023-02-17","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-05-28","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-06-15","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}