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Conditions of Solvability of Functional Equations with Differentiable λ-Injective Operator


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Abstract

We establish conditions for the invertibility of differentiable λ-injective maps in arbitrary Banach spaces, as well as the conditions of existence and uniqueness of bounded and almost periodic solutions of nonlinear difference equations.

About the authors

V. Yu. Slyusarchuk

National University of Water Management and Utilization of Natural Resources

Author for correspondence.
Email: V.E.Slyusarchuk@gmail.com
Ukraine, Soborna Str., 11, Rivne, 33000

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