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Necessary and sufficient conditions for existence and uniqueness of bounded or almost-periodic solutions for differential systems with convex potential - MaRDI portal

Necessary and sufficient conditions for existence and uniqueness of bounded or almost-periodic solutions for differential systems with convex potential (Q976601)

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scientific article; zbMATH DE number 5720809
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English
Necessary and sufficient conditions for existence and uniqueness of bounded or almost-periodic solutions for differential systems with convex potential
scientific article; zbMATH DE number 5720809

    Statements

    Necessary and sufficient conditions for existence and uniqueness of bounded or almost-periodic solutions for differential systems with convex potential (English)
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    15 June 2010
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    The system \(u'+\nabla \Phi (u)=e(t)\) with \(u\:\mathbb R\to \mathbb R^N\), \(\Phi \:\mathbb R^N\to \mathbb R\) (\(\Phi \) convex), and \(e\:\mathbb R\to \mathbb R^N\) is considered. Necessary and sufficient conditions for the existence and uniqueness of bounded or almost-periodic solutions are given.
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    first-order differential system
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    bounded or almost-periodic solutions
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