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arxiv: 1307.2429 · v1 · pith:H7RQBDLNnew · submitted 2013-07-09 · 🧮 math.AP

On Non-Autonomous Integro-Differential-Algebraic Evolutionary Problems

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keywords evolutionaryequationsestablishedintegro-differential-algebraicnon-autonomousresultswell-posednessapplies
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In this article, we show that a technique for showing well-posedness results for evolutionary equations in the sense of [13] established in [16] applies to a broader class of non-autonomous integro-differential-algebraic equations. Using the concept of evolutionary mappings we prove that the respective solution operators do not depend on certain parameters describing the underlying spaces in which the well-posedness results are established.

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