摘要
推广了经典的Gronwall不等式,得到了具有多个奇异点的广义Gronwall不等式,并利用此不等式证明了分数阶随机微分方程组温和解的存在唯一性。
The classical Gronwall’s inequality is generalized and a Gronwall’s inequality with multiple singularity points is obtained. Then the existence and uniqueness of solutions to stochastic fractional order differential equations is obtained by using the obtained inequality.
作者
王小焕
吕广迎
戴利杰
WANG Xiao-huan;LÜ Guang-ying;DAI Li-jie(College of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,Jiangsu,China;School of Mathematics and Statistics,Henan University,Kaifeng 475001,Henan,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2022年第6期94-101,共8页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11771123,11901158,12171247)。
