【摘要】 利用吸引盆为工具,我们把巴拿赫空间的全局同胚问题转化为讨论纯量微分方程解的存在有限性．推广了Hadamard-Levy定理,并应用于区间分析和微分方程,推广了一些现有定理．更多还原

【Abstract】 By using the concept of Basin of Attraction as a main tool of our explosion in discussing the diffeomorphisms between Banach spaces, we change it into discussing the existence and finiteness of nonnegative solution of the scalar differential equation. In Section 2, an extension of the famous Hadamard-Levy theorem is given. In Section 3 and Section 4, the theorem is applied to interval analysis and differential equation respectively. The results of this paper generalize some existing theorems.更多还原