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Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations.
- Source :
-
Advances in Difference Equations . Dec2014, Vol. 2014 Issue 1, p1-9. 9p. - Publication Year :
- 2014
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2014
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 102123422
- Full Text :
- https://doi.org/10.1186/1687-1847-2014-52