Stepanov-like \(C^{(n)}\)-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations (Q2901963)
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scientific article; zbMATH DE number 6062456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stepanov-like \(C^{(n)}\)-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations |
scientific article; zbMATH DE number 6062456 |
Statements
31 July 2012
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pseudo almost-automorphic \(C^{(n)} \)-pseudo almost-automorphy
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Stepanov-like \(C^{(n)} \)-pseudo almost-automorphy
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exponential dichotomy
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Stepanov-like \(C^{(n)}\)-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations (English)
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This paper deals with a new concept which generalizes the notions of \(C^{(n)} \)-pseudo almost-periodicity and \(C^{(n)} \)-pseudo almost-automorphy, called Stepanov-like \(C^{(n)} \)-pseudo almost-automorphy. Basic properties such as the stability of the convolution of those functions are studied and existence of \(C^{(n)} \)-pseudo almost-automorphic solutions to higher-order differential equations is obtained to illustrate the outlined results.
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