Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations

Advances in Difference Equations

Feng Yan-qing¹  Wang Zhong-ying¹  Weng Chuan-jun¹ 

[1] Department of Mathematics, Changzhou Institute of Technology, Jiangsu, P.R. China

关键词: Banach space;    diffeomorphism;    boundary value problem;    the basin of attraction;   

DOI  :  10.1186/1687-1847-2014-52

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the global diffeomorphism theorem due to Zampieri was generalized. The concept of the basin of attraction is the main tool of our exposition in discussing the diffeomorphism between Banach spaces. The existence and uniqueness of a solution of the fourth order elliptic boundary value problem was proved by employing our generalized theorem. The results of this paper generalize some known theorems. MSC:35J40.

【 授权许可】

CC BY