Existence and uniqueness of a solution for a non-autonomous semilinear integro-differential equation with deviated argument (Q691327)
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scientific article; zbMATH DE number 6111593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of a solution for a non-autonomous semilinear integro-differential equation with deviated argument |
scientific article; zbMATH DE number 6111593 |
Statements
Existence and uniqueness of a solution for a non-autonomous semilinear integro-differential equation with deviated argument (English)
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30 November 2012
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The authors discuss a class of non-autonomous semilinear integro-differential equation with deviated argument under an analytic semigroup of bounded linear operators on a Banach space \(X\). The method is based on the classical Banach contraction principle. The existence of local solutions and global solutions is established.
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integro-differential equation
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deviated argument
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Banach fixed point theorem
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analytic semigroup
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