{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T15:36:12Z","timestamp":1776785772611,"version":"3.51.2"},"reference-count":5,"publisher":"American Mathematical Society (AMS)","issue":"255","license":[{"start":{"date-parts":[[2007,3,3]],"date-time":"2007-03-03T00:00:00Z","timestamp":1172880000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>Some boundaries about the solution of the linear Volterra integral equations of the second type with unit source term and positive monotonically increasing convolution kernel were obtained in Ling, 1978 and 1982. A method enabling the expansion of the boundary of the solution function of an equation in this type was developed in I. \u00d6zdemir and \u00d6. F. Temizer, 2002. In this paper, by using the method in \u00d6zdemir and Temizer, it is shown that the boundary of the solution function of an equation in the same form can also be expanded under different conditions than those that they used.<\/p>","DOI":"10.1090\/s0025-5718-06-01834-5","type":"journal-article","created":{"date-parts":[[2006,5,24]],"date-time":"2006-05-24T14:43:01Z","timestamp":1148481781000},"page":"1175-1199","source":"Crossref","is-referenced-by-count":3,"title":["The boundaries of the solutions of the linear Volterra integral equations with convolution kernel"],"prefix":"10.1090","volume":"75","author":[{"given":"Ismet","family":"\u00d6zdemir","sequence":"first","affiliation":[]},{"given":"\u00d6.","family":"Temizer","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2006,3,3]]},"reference":[{"key":"1","volume-title":"Differential-difference equations","author":"Bellman, Richard","year":"1963"},{"issue":"2","key":"2","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1016\/0022-247X(78)90046-X","article-title":"Integral equations of Volterra type","volume":"64","author":"Ling, Rina","year":"1978","journal-title":"J. Math. Anal. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-247X","issn-type":"print"},{"issue":"1","key":"3","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1155\/S016117128200012X","article-title":"Solutions of singular integral equations","volume":"5","author":"Ling, Rina","year":"1982","journal-title":"Internat. J. Math. Math. Sci.","ISSN":"https:\/\/id.crossref.org\/issn\/0161-1712","issn-type":"print"},{"issue":"4","key":"4","doi-asserted-by":"publisher","first-page":"466","DOI":"10.1007\/BF01212705","article-title":"Expansion of the boundaries of the solutions of the linear Volterra integral equations with convolution kernel","volume":"43","author":"\u00d6zdemir, \u0130smet","year":"2002","journal-title":"Integral Equations Operator Theory","ISSN":"https:\/\/id.crossref.org\/issn\/0378-620X","issn-type":"print"},{"key":"5","series-title":"Pure and Applied Mathematics, Vol. V","volume-title":"Integral equations","author":"Tricomi, F. G.","year":"1957"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/2006-75-255\/S0025-5718-06-01834-5\/S0025-5718-06-01834-5.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/2006-75-255\/S0025-5718-06-01834-5\/S0025-5718-06-01834-5.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T14:36:07Z","timestamp":1776782167000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2006-75-255\/S0025-5718-06-01834-5\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,3,3]]},"references-count":5,"journal-issue":{"issue":"255","published-print":{"date-parts":[[2006,7]]}},"alternative-id":["S0025-5718-06-01834-5"],"URL":"https:\/\/doi.org\/10.1090\/s0025-5718-06-01834-5","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[2006,3,3]]}}}