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| 担当者 | 河野俊丈 |
|---|
2015年10月22日(木)
16:00-16:50 数理科学研究科棟(駒場) 002号室
応用解析セミナーとの共催
Hans-Otto Walther 氏 (University of Giessen)
The semiflow of a delay differential equation on its solution manifold (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/Walther-abstract-1.pdf
応用解析セミナーとの共催
Hans-Otto Walther 氏 (University of Giessen)
The semiflow of a delay differential equation on its solution manifold (ENGLISH)
[ 講演概要 ]
The lecture surveys work after the turn of the millenium on well-posedness of initial value problems for di_erential equations with variable delay. The focus is on results which provide continuously di_erentiable solution operators, so that in case studies ingredients of dynamical systems theory, such as local invariant manifolds or Poincar_e return maps, become available. We explain why the familar theory of retarded functional di_erential equations [1,2,4] fails for equations with variable delay, discuss what has been achieved for the latter, for autonomous and for nonautonomous equations, with delays bounded or unbounded, and address open problems.
[ 参考URL ]The lecture surveys work after the turn of the millenium on well-posedness of initial value problems for di_erential equations with variable delay. The focus is on results which provide continuously di_erentiable solution operators, so that in case studies ingredients of dynamical systems theory, such as local invariant manifolds or Poincar_e return maps, become available. We explain why the familar theory of retarded functional di_erential equations [1,2,4] fails for equations with variable delay, discuss what has been achieved for the latter, for autonomous and for nonautonomous equations, with delays bounded or unbounded, and address open problems.
http://fmsp.ms.u-tokyo.ac.jp/Walther-abstract-1.pdf
