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math.CA2017
Solvability of abstract semilinear equations by a global diffeomorphism theorem
Michal Beldzinski, Marek Galewski, Robert Steglinski
In this work we proivied a new simpler proof of the global diffeomorphism theorem from [9] which we further apply to consider unique solvability of some abstract semilinear equatio…
math.CA2017
Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems
Michał Bełdziński, Marek Galewski
We investigate solvability of a continuous Dirichlet boundary value problem together with its classical discretization using a gobal diffeomorphism theorem.