{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T04:24:41Z","timestamp":1773375881625,"version":"3.50.1"},"reference-count":9,"publisher":"American Mathematical Society (AMS)","issue":"4","license":[{"start":{"date-parts":[[2004,8,21]],"date-time":"2004-08-21T00:00:00Z","timestamp":1093046400000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proc. Amer. Math. Soc."],"abstract":"

\n We give sufficient conditions for the global asymptotic stability of the scalar delay differential equation\n \n \n \n \n \n \n x<\/mml:mi>\n \n \u02d9\n \n <\/mml:mo>\n <\/mml:mover>\n <\/mml:mrow>\n (<\/mml:mo>\n t<\/mml:mi>\n )<\/mml:mo>\n =<\/mml:mo>\n (<\/mml:mo>\n 1<\/mml:mn>\n +<\/mml:mo>\n x<\/mml:mi>\n (<\/mml:mo>\n t<\/mml:mi>\n )<\/mml:mo>\n )<\/mml:mo>\n F<\/mml:mi>\n (<\/mml:mo>\n t<\/mml:mi>\n ,<\/mml:mo>\n \n x<\/mml:mi>\n t<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:mrow>\n \\dot x(t)=(1+x(t))F(t,x_t)<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n , without assuming that zero is a solution. A result of Yorke (1970) is revisited.\n <\/p>","DOI":"10.1090\/s0002-9939-03-07237-x","type":"journal-article","created":{"date-parts":[[2004,4,21]],"date-time":"2004-04-21T12:43:50Z","timestamp":1082551430000},"page":"1163-1169","source":"Crossref","is-referenced-by-count":5,"special_numbering":"538","title":["An asymptotic stability result for scalar delayed population models"],"prefix":"10.1090","volume":"132","author":[{"given":"Teresa","family":"Faria","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2003,8,21]]},"reference":[{"key":"1","unstructured":"T. Faria, Global attractivity in scalar delayed differential equations with applications to population models, to appear in J. Math. Anal. 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Ekvac.","ISSN":"https:\/\/id.crossref.org\/issn\/0532-8721","issn-type":"print"},{"issue":"5","key":"6","doi-asserted-by":"publisher","first-page":"491","DOI":"10.1007\/BF00288430","article-title":"A nonautonomous model of population growth","volume":"27","author":"Vance, R. R.","year":"1989","journal-title":"J. Math. Biol.","ISSN":"https:\/\/id.crossref.org\/issn\/0303-6812","issn-type":"print"},{"issue":"1","key":"7","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1016\/0022-247X(87)90171-5","article-title":"On the 3\\over2 stability theorem for one-dimensional delay-differential equations","volume":"125","author":"Yoneyama, Toshiaki","year":"1987","journal-title":"J. Math. Anal. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-247X","issn-type":"print"},{"issue":"1","key":"8","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/0022-247X(92)90071-K","article-title":"The 3\/2 stability theorem for one-dimensional delay-differential equations with unbounded delay","volume":"165","author":"Yoneyama, Toshiaki","year":"1992","journal-title":"J. Math. Anal. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-247X","issn-type":"print"},{"key":"9","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1016\/0022-0396(70)90132-4","article-title":"Asymptotic stability for one dimensional differential-delay equations","volume":"7","author":"Yorke, James A.","year":"1970","journal-title":"J. Differential Equations","ISSN":"https:\/\/id.crossref.org\/issn\/0022-0396","issn-type":"print"}],"container-title":["Proceedings of the American Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/proc\/2004-132-04\/S0002-9939-03-07237-X\/S0002-9939-03-07237-X.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/proc\/2004-132-04\/S0002-9939-03-07237-X\/S0002-9939-03-07237-X.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T19:41:35Z","timestamp":1773344495000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/proc\/2004-132-04\/S0002-9939-03-07237-X\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,8,21]]},"references-count":9,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2004,4]]}},"alternative-id":["S0002-9939-03-07237-X"],"URL":"https:\/\/doi.org\/10.1090\/s0002-9939-03-07237-x","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6826","0002-9939"],"issn-type":[{"value":"1088-6826","type":"electronic"},{"value":"0002-9939","type":"print"}],"subject":[],"published":{"date-parts":[[2003,8,21]]}}}