{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:48:24Z","timestamp":1777448904312,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2011,7,1]],"date-time":"2011-07-01T00:00:00Z","timestamp":1309478400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2011,7]]},"abstract":"<jats:p>In this paper we discuss the concept of stochastic two-scale convergence, which is appropriate to solve coupled-periodic and stochastic homogenization problems. This concept is a combination of both well-known two-scale convergence and stochastic two-scale convergence in the mean schemes, and is a generalization of the said previous methods. By way of illustration we apply it to solve a homogenization problem related to an integral functional with convex integrand. This problematic relies on the notion of dynamical system which is our basic tool.<\/jats:p>","DOI":"10.3233\/asy-2011-1038","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:16:54Z","timestamp":1575055014000},"page":"97-123","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Stochastic two-scale convergence of an integral functional"],"prefix":"10.1177","volume":"73","author":[{"given":"Mamadou","family":"Sango","sequence":"first","affiliation":[{"name":"Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa. E-mail: mamadou.sango@up.ac.za"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean Louis","family":"Woukeng","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa. E-mail: mamadou.sango@up.ac.za"},{"name":"Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon. E-mails: jwoukeng@yahoo.fr, jeanlouis.woukeng@up.ac.za"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2011,7,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1038","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1038","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:20Z","timestamp":1777379960000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2011-1038"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2011,7]]}},"alternative-id":["10.3233\/ASY-2011-1038"],"URL":"https:\/\/doi.org\/10.3233\/asy-2011-1038","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7]]}}}