\(S\)-asymptotically \(\omega \)-periodic and asymptotically \(\omega \)-periodic solutions to semi-linear Cauchy problems with non-dense domain (Q847369)
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scientific article; zbMATH DE number 5669305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(S\)-asymptotically \(\omega \)-periodic and asymptotically \(\omega \)-periodic solutions to semi-linear Cauchy problems with non-dense domain |
scientific article; zbMATH DE number 5669305 |
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\(S\)-asymptotically \(\omega \)-periodic and asymptotically \(\omega \)-periodic solutions to semi-linear Cauchy problems with non-dense domain (English)
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12 February 2010
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The authors study the existence and uniqueness of \(S\)-asymptotically \(\omega\)-periodic and asymptotically \(\omega\)-periodic solutions to a first order differential equation with linear part dominated by a Hille-Yosida operator with non-dense domain. The methods are inedit and the obtained results are applied to several interesting cases among which we should mention: partial differential equations, fractional integro-differential equations as well as neutral differential equations.
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abstract Cauchy problem
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asymptotically \(\omega\)-periodic function
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\(S\)-asymptotically \(\omega\)-periodic function
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Hille-Yosida operator
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integro-differential equation
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neutral differential equation
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