论文标题
有界广义变化和设定值的年轻积分的设定值函数
Set-valued functions of bounded generalized variation and set-valued Young integrals
论文作者
论文摘要
该论文处理具有有界的Riesz p差异的设置值函数的某些属性。引入了此类多功能的年轻类型的设定值积分。讨论了此类集成积分的选择结果和属性。这些积分包含作为特定情况相对于小部分运动的特定情况集值的随机积分,因此,它们的特性对于研究由小数布朗尼运动驱动的随机微分夹杂物的溶液至关重要。
The paper deals with some properties of set-valued functions having a bounded Riesz p-variation. Set-valued integrals of a Young type for such multifunctions are introduced. Selection results and properties of such setvalued integrals are discussed. These integrals contain as a particular case set-valued stochastic integrals with respect to a fractional Brownian motion, and therefore, their properties are crucial for the investigation of solutions to stochastic differential inclusions driven by a fractional Brownian motion.