摘要
本文借助Musielak及Orlicz等人提出的Φ有界变差函数理论,建立了Caratheodory系统在Henstock-Kurzweil积分意义下的Φ有界变差解的存在性定理。该结果是对不连续系统有界变差解存在性定理的本质推广。
The existence theorem for bounded Ф-variation solutions to the Caratheodory system is established by using the bounded Ф-variation function theory, which was introduced by Musielak and Orlicz. This result is an essential generalization of the existence theorem for bounded variation solutions to discontinuous systems.
出处
《工程数学学报》
CSCD
北大核心
2008年第3期489-494,共6页
Chinese Journal of Engineering Mathematics
