2017
Том 69
№ 6

All Issues

Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps

Slyusarchuk V. Yu.


Abstract

We establish necessary and sufficient conditions for the invertibility of nonlinear differentiable maps in the case of arbitrary Banach spaces. We establish conditions for the existence and uniqueness of bounded and almost periodic solutions of nonlinear differential and difference equations.

Citation Example: Slyusarchuk V. Yu. Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps // Ukr. Mat. Zh. - 2016. - 68, № 4. - pp. 563-576.