Affiliation:
1. 1 Technical University of Lodz Institute of Mathematics Wolczanska 215 90-924 Lodz Poland
Abstract
We provide sufficient conditions for a mapping acting between two Banach spaces to be a diffeomorphism. We get local diffeomorhism by standard method while in making it global we employ a critical point theory and a duality mapping. We provide application to integro-differential initial value problem for which we get differentiable dependence on parameters.
Reference17 articles.
1. Variational Methods for Potential Operator Equations
2. Variational and topological methods for Dirichlet problems with p-Laplacian;Dinca G.;Port. Math. (N.S.),2001
3. Conditions for having a diffeomorphis between two Banach spaces;Galewska E.;Electron. J. Diff. Equ.,2014
4. Global inversion theorems via coercive functionals on metric spaces;Gutú O.;Nonlinear Anal.,2007
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献