{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:35:51Z","timestamp":1746804951043,"version":"3.40.5"},"reference-count":9,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["2013DXS03","CXZZ13_0921","11371162"],"award-info":[{"award-number":["2013DXS03","CXZZ13_0921","11371162"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]},{"name":"College Graduates of Jiangsu Province","award":["2013DXS03","CXZZ13_0921","11371162"],"award-info":[{"award-number":["2013DXS03","CXZZ13_0921","11371162"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2013DXS03","CXZZ13_0921","11371162"],"award-info":[{"award-number":["2013DXS03","CXZZ13_0921","11371162"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We prove that a continuous<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:math>-supermartingale with uniformly continuous coeffcient<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:math>on finite or infinite horizon, is a<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:math>-supersolution of the corresponding backward stochastic differential equation. It is a new nonlinear Doob-Meyer decomposition theorem for the<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:math>-supermartingale with continuous trajectory.<\/jats:p>","DOI":"10.1155\/2014\/743508","type":"journal-article","created":{"date-parts":[[2014,3,2]],"date-time":"2014-03-02T21:01:16Z","timestamp":1393794076000},"page":"1-9","source":"Crossref","is-referenced-by-count":1,"title":["Nonlinear Decomposition of Doob-Meyer's Type for Continuous<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:math>-Supermartingale with Uniformly Continuous Coefficient"],"prefix":"10.1155","volume":"2014","author":[{"given":"Xuejun","family":"Shi","sequence":"first","affiliation":[{"name":"College of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Long","family":"Jiang","sequence":"additional","affiliation":[{"name":"College of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ronglin","family":"Ji","sequence":"additional","affiliation":[{"name":"College of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"1","key":"1","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/0167-6911(90)90082-6","volume":"14","year":"1990","journal-title":"Systems & Control Letters"},{"issue":"364","key":"2","series-title":"Pitman Research Notes in Mathematics Series","first-page":"141","volume-title":"Backward SDE and related g-expectation","year":"1997"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s004400050214"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s102550200064"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s10114-002-0218-2"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpb.2004.12.002"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.3150\/09-BEJ227"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700002172"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2010.11.008"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/743508.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/743508.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/743508.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,11]],"date-time":"2020-05-11T20:30:32Z","timestamp":1589229032000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/743508\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":9,"alternative-id":["743508","743508"],"URL":"https:\/\/doi.org\/10.1155\/2014\/743508","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}