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Contemporary Mathematics. Fundamental Directions, 2013, Volume 48, Pages 5–26 (Mi cmfd235)  

This article is cited in 4 scientific papers (total in 4 papers)

Evolution systems for differential equations with variable time lags

H.-O. Walther

Mathematisches Institut, Universität Gießen, Gießen, Germany
Full-text PDF (332 kB) Citations (4)
References:
Abstract: We consider nonautonomous retarded functional differential equations under hypotheses which are designed for the application to equations with variable time lags, which may be unbounded, and construct an evolution system of solution operators which are continuously differentiable. These operators are defined on manifolds of continuously differentiable functions. The results apply to pantograph equations and to nonlinear Volterra integro-differential equations, for example. For linear equations we also provide a simpler evolution system with solution operators on a Banach space of continuous functions.
English version:
Journal of Mathematical Sciences, 2014, Volume 202, Issue 6, Pages 911–933
DOI: https://doi.org/10.1007/s10958-014-2086-6
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: H.-O. Walther, “Evolution systems for differential equations with variable time lags”, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 4, CMFD, 48, PFUR, M., 2013, 5–26; Journal of Mathematical Sciences, 202:6 (2014), 911–933
Citation in format AMSBIB
\Bibitem{Wal13}
\by H.-O.~Walther
\paper Evolution systems for differential equations with variable time lags
\inbook Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2011). Part~4
\serial CMFD
\yr 2013
\vol 48
\pages 5--26
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd235}
\transl
\jour Journal of Mathematical Sciences
\yr 2014
\vol 202
\issue 6
\pages 911--933
\crossref{https://doi.org/10.1007/s10958-014-2086-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919914733}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Современная математика. Фундаментальные направления
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    Full-text PDF :104
    References:39
     
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