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Random periodic solutions for stochastic differential equations with non-uniform dissipativity

發(fā)布者:文明辦發(fā)布時(shí)間:2022-04-23瀏覽次數(shù):802


主講人:鮑建海  天津大學(xué)教授


時(shí)間:2022年5月13日15:00


地點(diǎn):騰訊會(huì)議 199 235 861


舉辦單位:數(shù)理學(xué)院


主講人介紹:鮑建海教授現(xiàn)任職于天津大學(xué)應(yīng)用數(shù)學(xué)中心。主要從事隨機(jī)分析等相關(guān)領(lǐng)域研究。2013 年01月獲英國(guó)斯旺西大學(xué)博士學(xué)位;2012 年9 月-2013 年8月在美國(guó)韋恩州立大學(xué)從事Research Fellow;2017年1月-2019年12月在英國(guó)斯旺西大學(xué)從事博士后研究;2013年9月-2020年6月,在中南大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院工作。


內(nèi)容介紹:This talk is concerned with the existence and uniqueness of random periodic solutions for SDEs, where the drift terms involved need not to be uniformly dissipative. On the one hand, via the reflection coupling approach, we investigate the existence of random periodic solutions in the sense of distribution for SDEs without memory, where the drifts are merely dissipative at long distance. On the other hand, via the synchronous coupling strategy, we establish respectively the existence of pathwise random periodic solutions for functional SDEs with a finite time lag and an infinite time lag, in which the drifts are only dissipative on average rather than uniformly dissipative with respect to the time parameters.