MATEMATIČKI VESNIK Vol. 69, No. 4, pp. 259–270 (2017) |
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Linear Hamiltonian system in scale of Hilbert spacesO. ZubelevichDeptartment of Theoretical mechanics, Mechanics and Mathematics Faculty, M. V. Lomonosov Moscow State University, Russia, 119899, Moscow, Vorob'evy gory, MGU E-mail: ozubel@yandex.ruAbstract: We consider an initial value problem for linear Hamiltonian system in the scale of Hilbert spaces and prove an existence and uniqueness theorem. We also prove a version of the Poincar\'e Recurrence Theorem. Keywords: Linear PDE; infinite dimensional Hamiltonian system. Classification (MSC2000): 35A01; 37K05, 35A02 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 8 Sep 2017. This page was last modified: 25 Sep 2018.
© 2017 Mathematical Society of Serbia (Društvo matematičara Srbije)
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