We provide sufficient conditions for a mapping $f:R^{n}\rightarrow R^{n}$ to be a global diffeomorphism in case it is strictly (Hadamard) differentiable. We use classical local invertibility conditions together with the non-smooth critical point theory.
A note on a global invertibility of locally lipschitz functions on $R^n$
Sufficient conditions for the convergence of the Magnus expansion
Umbral "classical" polynomials
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