Conditions of Solvability of Functional Equations with Differentiable λ-Injective Operator
- Authors: Slyusarchuk V.Y.1
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Affiliations:
- National University of Water Management and Utilization of Natural Resources
- Issue: Vol 226, No 3 (2017)
- Pages: 296-306
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239976
- DOI: https://doi.org/10.1007/s10958-017-3535-9
- ID: 239976
Cite item
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