On set differential equations in Banach spaces – a second type Hukuhara differentiability approach
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摘要
In this paper we consider set differential equations in Banach spaces and with the second type Hukuhara derivative. We show that a sequence of successive approximations converges uniformly to a unique local solution of a Cauchy problem. Some comparison results are formulated and a continuity of solution with respect to equation data is shown. The existence of a global solution is also established.
论文关键词：Set differential equation in Banach space,Second type Hukuhara derivative,Existence and uniqueness theorem,Local solution,Global solution,Comparison principle
论文评审过程：Available online 12 July 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.06.019
