Conditions of solvability of functional equations with differentiable \(\lambda\)-injective operator (Q1683308)
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scientific article; zbMATH DE number 6816331
| Language | Label | Description | Also known as |
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| English | Conditions of solvability of functional equations with differentiable \(\lambda\)-injective operator |
scientific article; zbMATH DE number 6816331 |
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Conditions of solvability of functional equations with differentiable \(\lambda\)-injective operator (English)
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7 December 2017
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Differentiable lambda injective maps in Banach spaces are considered. Now the question is whether such maps are invertible or not? The author establishes conditions for the invertibility of such maps. Further, the existence and uniqueness of bounded and almost periodic solutions of nonlinear difference equations are studied. This is shown as an application of the main obtained results.
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diffeomorphism
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almost periodic solution
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differentiable lambda injective maps
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Banach spaces
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nonlinear difference equations
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