Weighted pseudo almost automorphic solutions to functional differential equations with infinite delay (Q2832428)
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scientific article; zbMATH DE number 6652112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted pseudo almost automorphic solutions to functional differential equations with infinite delay |
scientific article; zbMATH DE number 6652112 |
Statements
11 November 2016
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Stepanov-like weighted function
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functional differential equation
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pseudo almost automorphic function
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infinite delay
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Weighted pseudo almost automorphic solutions to functional differential equations with infinite delay (English)
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The main purpose of this paper is to study composition results for weighted pseudo almost automorphic functions of class \(r\) and Stepanov-like weighted pseudo almost automorphic functions of class infinity under a uniform continuity condition with respect to the \(L^p\)-norm. The authors apply the obtained results to prove the existence and uniqueness of weighted pseudo almost automorphic solutions to an abstract partial neutral functional differential equation with a Stepanov-like nonlinear term.
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