南京大学学报(数学半年刊)
南京大學學報(數學半年刊)
남경대학학보(수학반년간)
JOURNAL OF NANJING UNIVERSITY MATHEMATICAL BIQUARTERLY
2000年
1期
1-8
,共8页
微分同胚%强制函数%吸引盆%单射%满射
微分同胚%彊製函數%吸引盆%單射%滿射
미분동배%강제함수%흡인분%단사%만사
diffeomorphism%coercive functions%basin of attraction%injective%bijectivity
本文利用非负强制函数及吸引盆的方法,将微分同胚问题转化为讨论相应纯量微分方程在[0,+∞)上存在非负解,得到了Banach空间的几个全局微分同胚定理,结论推广了文[5]、[7-9]、[12]中的一些主要定理.
本文利用非負彊製函數及吸引盆的方法,將微分同胚問題轉化為討論相應純量微分方程在[0,+∞)上存在非負解,得到瞭Banach空間的幾箇全跼微分同胚定理,結論推廣瞭文[5]、[7-9]、[12]中的一些主要定理.
본문이용비부강제함수급흡인분적방법,장미분동배문제전화위토론상응순량미분방정재[0,+∞)상존재비부해,득도료Banach공간적궤개전국미분동배정리,결론추엄료문[5]、[7-9]、[12]중적일사주요정리.
In this paper the methods of the nonegative coercive functions and the basin of attraction are used to change the problem of diffeomorphisms between Banach Spaces into disseusing the existence of nonnegative solution of the scalar differential equation.Some theorems of global diffeomorphisms between Banach Spaces are proved.The results of this paper generalise the main results of the papers [5],[7－9].[12].
