On non-autonomous integro-differential-algebraic evolutionary problems

M. Waurick

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this article, we show that a technique for showing well-posedness results for evolutionary equations in the sense of Picard and McGhee [Picard, McGhee, Partial Differential Equations: A unified Hilbert Space Approach, DeGruyter, Berlin, 2011] established in [Picard, Trostorff, Wehowski, Waurick, On non-autonomous evolutionary problems. J. Evol. Equ. 13:751-776, 2013] 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.
Original languageEnglish
Pages (from-to)665-676
Number of pages12
JournalMathematical Methods in the Applied Sciences
Volume38
Issue number4
Early online date19 Feb 2014
DOIs
Publication statusPublished - 15 Mar 2015

Keywords

  • well-posedness
  • evolutionary equations
  • evolutionary mappings
  • integro-differential-algebraic equations

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