Pseudo affine-periodic solutions for delay differential systems (Q1981896)
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scientific article; zbMATH DE number 7391768
| Language | Label | Description | Also known as |
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| English | Pseudo affine-periodic solutions for delay differential systems |
scientific article; zbMATH DE number 7391768 |
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Pseudo affine-periodic solutions for delay differential systems (English)
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7 September 2021
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The paper establishes sufficient conditions for existence and uniqueness of pseudo affine-periodic solutions of linear, semi-linear, as well as nonlinear differential equations with either bounded or unbounded delay. The main assumptions involve an exponential dichotomy property and pseudo affine-periodicity of the right-hand side. The proofs are based on fixed point arguments. The results are illustrated by two examples.
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fixed point theorem
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exponential dichotomy
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delay differential system
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