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A topological property of the solution set of an infinite horizon, nonlinear integrodifferential inclusion - MaRDI portal

A topological property of the solution set of an infinite horizon, nonlinear integrodifferential inclusion (Q5933726)

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scientific article; zbMATH DE number 1604412
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A topological property of the solution set of an infinite horizon, nonlinear integrodifferential inclusion
scientific article; zbMATH DE number 1604412

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    A topological property of the solution set of an infinite horizon, nonlinear integrodifferential inclusion (English)
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    22 June 2005
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    Using Bressan-Colombo results concerning the existence of continuous selections of lower semicontinuous multifunctions with decomposable values, we prove that the set of derivatives of solutions of a class of nonlinear integrodifferential inclusions is retract of \(L^1_{\text{loc}}([0,\infty),\mathbb R^n)\).
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    integro-differential inclusion
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    existence of solutions
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