@phdthesis{__2011,
	type = {硕士},
	title = {噪声抑制解的爆破以及对动力学行为的影响},
	url = {https://oversea.cnki.net/KCMS/detail/detail.aspx?dbcode=CMFD&dbname=CMFD2012&filename=1012293642.nh&uniplatform=OVERSEA&v=b55874VK2Q17Ih3Rfm8ybJhHa1yf2QvL6u1MqpcEPNmcJU8VzFHuy9u9W4AH_A0t},
	abstract = {本文主要研究具有随机扰动的非线性系统dx(t)=axm(t)dt+bxn(t)dB(t) (1.1.1)其中a,b\>0,t≥0,m\>0,n≥1,初值x(t0)\>0,B(t)是标准的布朗运动.对于常微分方程x(t)=axm(t),显然当m\>1时,方程的解在有限时间内会爆破.本文的主旨是通过对这样的一个常微分方程施加适当扰动,来研究扰动后的随机微分方程解的一些性质. 	本文由四章构成.第一章简述了问题产生的历史背景,本文的主要工作以及本文中主要定理证明所使用的工具.在第二章中,首先利用Lyapunov函数研究了单随机扰动系统正解的存在唯一性,它是后面研究的基础；进而,给出了解的一系列渐近性.在...},
	language = {zh\_CN},
	urldate = {2022-10-12},
	school = {东北师范大学},
	author = {{李密}},
	year = {2011},
	keywords = {/unread},
}

{"_id":{"_str":"52425852b1392ed14300153a"},"__v":0,"authorIDs":[],"author_short":["李密"],"bibbaseid":"--2011","bibdata":{"bibtype":"phdthesis","type":"硕士","title":"噪声抑制解的爆破以及对动力学行为的影响","url":"https://oversea.cnki.net/KCMS/detail/detail.aspx?dbcode=CMFD&dbname=CMFD2012&filename=1012293642.nh&uniplatform=OVERSEA&v=b55874VK2Q17Ih3Rfm8ybJhHa1yf2QvL6u1MqpcEPNmcJU8VzFHuy9u9W4AH_A0t","abstract":"本文主要研究具有随机扰动的非线性系统dx(t)=axm(t)dt+bxn(t)dB(t) (1.1.1)其中a,b>0,t≥0,m>0,n≥1,初值x(t0)>0,B(t)是标准的布朗运动.对于常微分方程x(t)=axm(t),显然当m>1时,方程的解在有限时间内会爆破.本文的主旨是通过对这样的一个常微分方程施加适当扰动,来研究扰动后的随机微分方程解的一些性质. 本文由四章构成.第一章简述了问题产生的历史背景,本文的主要工作以及本文中主要定理证明所使用的工具.在第二章中,首先利用Lyapunov函数研究了单随机扰动系统正解的存在唯一性,它是后面研究的基础；进而,给出了解的一系列渐近性.在...","language":"zh_CN","urldate":"2022-10-12","school":"东北师范大学","author":[{"firstnames":[],"propositions":[],"lastnames":["李密"],"suffixes":[]}],"year":"2011","keywords":"/unread","bibtex":"@phdthesis{__2011,\n\ttype = {硕士},\n\ttitle = {噪声抑制解的爆破以及对动力学行为的影响},\n\turl = {https://oversea.cnki.net/KCMS/detail/detail.aspx?dbcode=CMFD&dbname=CMFD2012&filename=1012293642.nh&uniplatform=OVERSEA&v=b55874VK2Q17Ih3Rfm8ybJhHa1yf2QvL6u1MqpcEPNmcJU8VzFHuy9u9W4AH_A0t},\n\tabstract = {本文主要研究具有随机扰动的非线性系统dx(t)=axm(t)dt+bxn(t)dB(t) (1.1.1)其中a,b\\>0,t≥0,m\\>0,n≥1,初值x(t0)\\>0,B(t)是标准的布朗运动.对于常微分方程x(t)=axm(t),显然当m\\>1时,方程的解在有限时间内会爆破.本文的主旨是通过对这样的一个常微分方程施加适当扰动,来研究扰动后的随机微分方程解的一些性质. \t本文由四章构成.第一章简述了问题产生的历史背景,本文的主要工作以及本文中主要定理证明所使用的工具.在第二章中,首先利用Lyapunov函数研究了单随机扰动系统正解的存在唯一性,它是后面研究的基础；进而,给出了解的一系列渐近性.在...},\n\tlanguage = {zh\\_CN},\n\turldate = {2022-10-12},\n\tschool = {东北师范大学},\n\tauthor = {{李密}},\n\tyear = {2011},\n\tkeywords = {/unread},\n}\n\n\n\n","author_short":["李密"],"key":"__2011","id":"__2011","bibbaseid":"--2011","role":"author","urls":{"Paper":"https://oversea.cnki.net/KCMS/detail/detail.aspx?dbcode=CMFD&dbname=CMFD2012&filename=1012293642.nh&uniplatform=OVERSEA&v=b55874VK2Q17Ih3Rfm8ybJhHa1yf2QvL6u1MqpcEPNmcJU8VzFHuy9u9W4AH_A0t"},"keyword":["/unread"],"metadata":{"authorlinks":{}},"downloads":0,"html":""},"bibtype":"phdthesis","biburl":"https://bibbase.org/zotero/Cantabile1228","downloads":0,"keywords":["/unread"],"search_terms":["李密"],"title":"噪声抑制解的爆破以及对动力学行为的影响","year":2011,"dataSources":["kAwHZJqwjykwTWHzw","GMpG8JCppzbLoTT2K","mFCDMn8X8gxFEGF67","2wZSdpT9q37R8YvBp","KsvmQPo2SGhyhNkpL","RmgzPftd92tGag9se","TJkbwzD8s2wCxBy6Y","3xT8SMGPLHLRwLW4t","H8jzwZT5FQ8p3uspr","t334MWsk8W74r2QJi","XXMPhKJLn3LzRFzbL","5vfT7chqyKSuztznA","EotKB7sk8uWbfvCNP","3bDLdJJSLMCzwHmsG","prFTW7rEBBSfixaBo","sWFw7a3qEGqRuCokd","D8HxC6SSyEJfd6ygY","wvwEBw9BFosbJ7CjW","EHv9ELengEDb8QCNY","rxwTgGCZxrH5uS4KX","kqbY2LTdSoaDb6fny","5aHFuyNRro5Y6Gatd","k25jLD4thkvbAmBgd","svSjxFw6DzYd5XZdH"]}