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中文摘要：
利用Φ有界变差函数理论与Banach不动点定理,建立了Banach空间中广义常微分方程的Φ有界变差解的存在唯一性定理,并给出这类方程在脉冲微分系统中的应用.
英文摘要：
The existence and uniqueness theorems of the bounded Φ-variation solution of generalized ordinary differential equations in Banach spaces are established by using the bounded Φ-variation function theory and Banach fixed-point theorem.An example is given to show this class of equation in the application of impulsive differential system.
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